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Finding the Third Proportional to 15,177.38 and 32,481

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Solution

The third proportional to 15,177.38 and 32,481 is: 69,512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.38 : 32,481 = 32,481 : x
  2. Step 2: Convert to fraction form
    15,177.38/32,481 = 32,481/x
  3. Step 3: Cross multiply
    15,177.38x = 32,481 × 32,481
  4. Step 4: Simplify right side
    15,177.38x = 1,055,015,361
  5. Step 5: Solve for x
    x = 1,055,015,361/15,177.38
  6. Step 6: Final answer
    x = 69,512.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.