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Finding the Third Proportional to 12,866 and 26,089

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Solution

The third proportional to 12,866 and 26,089 is: 52,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866 : 26,089 = 26,089 : x
  2. Step 2: Convert to fraction form
    12,866/26,089 = 26,089/x
  3. Step 3: Cross multiply
    12,866x = 26,089 × 26,089
  4. Step 4: Simplify right side
    12,866x = 680,635,921
  5. Step 5: Solve for x
    x = 680,635,921/12,866
  6. Step 6: Final answer
    x = 52,901.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.