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Finding the Third Proportional to 30,730.50 and 66,305.25

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Solution

The third proportional to 30,730.50 and 66,305.25 is: 143,062.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,730.50 : 66,305.25 = 66,305.25 : x
  2. Step 2: Convert to fraction form
    30,730.50/66,305.25 = 66,305.25/x
  3. Step 3: Cross multiply
    30,730.50x = 66,305.25 × 66,305.25
  4. Step 4: Simplify right side
    30,730.50x = 4,396,386,177.56
  5. Step 5: Solve for x
    x = 4,396,386,177.56/30,730.50
  6. Step 6: Final answer
    x = 143,062.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.