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Finding the Third Proportional to 26,866 and 58,654

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Solution

The third proportional to 26,866 and 58,654 is: 128,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,866 : 58,654 = 58,654 : x
  2. Step 2: Convert to fraction form
    26,866/58,654 = 58,654/x
  3. Step 3: Cross multiply
    26,866x = 58,654 × 58,654
  4. Step 4: Simplify right side
    26,866x = 3,440,291,716
  5. Step 5: Solve for x
    x = 3,440,291,716/26,866
  6. Step 6: Final answer
    x = 128,053.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.