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Finding the Third Proportional to 12,909.38 and 27,356.48

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Solution

The third proportional to 12,909.38 and 27,356.48 is: 57,971.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.38 : 27,356.48 = 27,356.48 : x
  2. Step 2: Convert to fraction form
    12,909.38/27,356.48 = 27,356.48/x
  3. Step 3: Cross multiply
    12,909.38x = 27,356.48 × 27,356.48
  4. Step 4: Simplify right side
    12,909.38x = 748,377,237.36
  5. Step 5: Solve for x
    x = 748,377,237.36/12,909.38
  6. Step 6: Final answer
    x = 57,971.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.