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Finding the Third Proportional to 30,346.31 and 66,224.25

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Solution

The third proportional to 30,346.31 and 66,224.25 is: 144,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,346.31 : 66,224.25 = 66,224.25 : x
  2. Step 2: Convert to fraction form
    30,346.31/66,224.25 = 66,224.25/x
  3. Step 3: Cross multiply
    30,346.31x = 66,224.25 × 66,224.25
  4. Step 4: Simplify right side
    30,346.31x = 4,385,651,288.06
  5. Step 5: Solve for x
    x = 4,385,651,288.06/30,346.31
  6. Step 6: Final answer
    x = 144,520.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.