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Finding the Third Proportional to 40,764 and 60,384

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Solution

The third proportional to 40,764 and 60,384 is: 89,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,764 : 60,384 = 60,384 : x
  2. Step 2: Convert to fraction form
    40,764/60,384 = 60,384/x
  3. Step 3: Cross multiply
    40,764x = 60,384 × 60,384
  4. Step 4: Simplify right side
    40,764x = 3,646,227,456
  5. Step 5: Solve for x
    x = 3,646,227,456/40,764
  6. Step 6: Final answer
    x = 89,447.24

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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.