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Finding the Third Proportional to 12,765.38 and 27,710.13

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Solution

The third proportional to 12,765.38 and 27,710.13 is: 60,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.38 : 27,710.13 = 27,710.13 : x
  2. Step 2: Convert to fraction form
    12,765.38/27,710.13 = 27,710.13/x
  3. Step 3: Cross multiply
    12,765.38x = 27,710.13 × 27,710.13
  4. Step 4: Simplify right side
    12,765.38x = 767,851,027.52
  5. Step 5: Solve for x
    x = 767,851,027.52/12,765.38
  6. Step 6: Final answer
    x = 60,151.07

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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.