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Finding the Third Proportional to 26,712 and 63,059

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Solution

The third proportional to 26,712 and 63,059 is: 148,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,712 : 63,059 = 63,059 : x
  2. Step 2: Convert to fraction form
    26,712/63,059 = 63,059/x
  3. Step 3: Cross multiply
    26,712x = 63,059 × 63,059
  4. Step 4: Simplify right side
    26,712x = 3,976,437,481
  5. Step 5: Solve for x
    x = 3,976,437,481/26,712
  6. Step 6: Final answer
    x = 148,863.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.