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Finding the Third Proportional to 40,854 and 63,111

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Solution

The third proportional to 40,854 and 63,111 is: 97,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,854 : 63,111 = 63,111 : x
  2. Step 2: Convert to fraction form
    40,854/63,111 = 63,111/x
  3. Step 3: Cross multiply
    40,854x = 63,111 × 63,111
  4. Step 4: Simplify right side
    40,854x = 3,982,998,321
  5. Step 5: Solve for x
    x = 3,982,998,321/40,854
  6. Step 6: Final answer
    x = 97,493.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.