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Finding the Third Proportional to 41,787 and 63,045

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Solution

The third proportional to 41,787 and 63,045 is: 95,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,787 : 63,045 = 63,045 : x
  2. Step 2: Convert to fraction form
    41,787/63,045 = 63,045/x
  3. Step 3: Cross multiply
    41,787x = 63,045 × 63,045
  4. Step 4: Simplify right side
    41,787x = 3,974,672,025
  5. Step 5: Solve for x
    x = 3,974,672,025/41,787
  6. Step 6: Final answer
    x = 95,117.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.