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Finding the Third Proportional to 7,127.58 and 15,177.38

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Solution

The third proportional to 7,127.58 and 15,177.38 is: 32,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.58 : 15,177.38 = 15,177.38 : x
  2. Step 2: Convert to fraction form
    7,127.58/15,177.38 = 15,177.38/x
  3. Step 3: Cross multiply
    7,127.58x = 15,177.38 × 15,177.38
  4. Step 4: Simplify right side
    7,127.58x = 230,352,711.89
  5. Step 5: Solve for x
    x = 230,352,711.89/7,127.58
  6. Step 6: Final answer
    x = 32,318.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.