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Finding the Third Proportional to 41,741 and 63,645

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Solution

The third proportional to 41,741 and 63,645 is: 97,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,741 : 63,645 = 63,645 : x
  2. Step 2: Convert to fraction form
    41,741/63,645 = 63,645/x
  3. Step 3: Cross multiply
    41,741x = 63,645 × 63,645
  4. Step 4: Simplify right side
    41,741x = 4,050,686,025
  5. Step 5: Solve for x
    x = 4,050,686,025/41,741
  6. Step 6: Final answer
    x = 97,043.34

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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.