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Finding the Third Proportional to 41,854 and 62,057

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Solution

The third proportional to 41,854 and 62,057 is: 92,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,854 : 62,057 = 62,057 : x
  2. Step 2: Convert to fraction form
    41,854/62,057 = 62,057/x
  3. Step 3: Cross multiply
    41,854x = 62,057 × 62,057
  4. Step 4: Simplify right side
    41,854x = 3,851,071,249
  5. Step 5: Solve for x
    x = 3,851,071,249/41,854
  6. Step 6: Final answer
    x = 92,012.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.