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Finding the Third Proportional to 30,250.50 and 69,434.25

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Solution

The third proportional to 30,250.50 and 69,434.25 is: 159,373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,250.50 : 69,434.25 = 69,434.25 : x
  2. Step 2: Convert to fraction form
    30,250.50/69,434.25 = 69,434.25/x
  3. Step 3: Cross multiply
    30,250.50x = 69,434.25 × 69,434.25
  4. Step 4: Simplify right side
    30,250.50x = 4,821,115,073.06
  5. Step 5: Solve for x
    x = 4,821,115,073.06/30,250.50
  6. Step 6: Final answer
    x = 159,373.07

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.