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Finding the Third Proportional to 26,437 and 57,613

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Solution

The third proportional to 26,437 and 57,613 is: 125,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,437 : 57,613 = 57,613 : x
  2. Step 2: Convert to fraction form
    26,437/57,613 = 57,613/x
  3. Step 3: Cross multiply
    26,437x = 57,613 × 57,613
  4. Step 4: Simplify right side
    26,437x = 3,319,257,769
  5. Step 5: Solve for x
    x = 3,319,257,769/26,437
  6. Step 6: Final answer
    x = 125,553.50

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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.