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Finding the Third Proportional to 12,115.62 and 26,177.13

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Solution

The third proportional to 12,115.62 and 26,177.13 is: 56,558.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.62 : 26,177.13 = 26,177.13 : x
  2. Step 2: Convert to fraction form
    12,115.62/26,177.13 = 26,177.13/x
  3. Step 3: Cross multiply
    12,115.62x = 26,177.13 × 26,177.13
  4. Step 4: Simplify right side
    12,115.62x = 685,242,282.28
  5. Step 5: Solve for x
    x = 685,242,282.28/12,115.62
  6. Step 6: Final answer
    x = 56,558.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.