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Finding the Third Proportional to 41,742 and 62,973

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Solution

The third proportional to 41,742 and 62,973 is: 95,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,742 : 62,973 = 62,973 : x
  2. Step 2: Convert to fraction form
    41,742/62,973 = 62,973/x
  3. Step 3: Cross multiply
    41,742x = 62,973 × 62,973
  4. Step 4: Simplify right side
    41,742x = 3,965,598,729
  5. Step 5: Solve for x
    x = 3,965,598,729/41,742
  6. Step 6: Final answer
    x = 95,002.60

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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.