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Finding the Third Proportional to 41,572 and 63,026

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Solution

The third proportional to 41,572 and 63,026 is: 95,551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,572 : 63,026 = 63,026 : x
  2. Step 2: Convert to fraction form
    41,572/63,026 = 63,026/x
  3. Step 3: Cross multiply
    41,572x = 63,026 × 63,026
  4. Step 4: Simplify right side
    41,572x = 3,972,276,676
  5. Step 5: Solve for x
    x = 3,972,276,676/41,572
  6. Step 6: Final answer
    x = 95,551.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.