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Finding the Third Proportional to 7,130.50 and 15,504.13

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Solution

The third proportional to 7,130.50 and 15,504.13 is: 33,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.50 : 15,504.13 = 15,504.13 : x
  2. Step 2: Convert to fraction form
    7,130.50/15,504.13 = 15,504.13/x
  3. Step 3: Cross multiply
    7,130.50x = 15,504.13 × 15,504.13
  4. Step 4: Simplify right side
    7,130.50x = 240,377,892.02
  5. Step 5: Solve for x
    x = 240,377,892.02/7,130.50
  6. Step 6: Final answer
    x = 33,711.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.