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Finding the Third Proportional to 38,718 and 59,840

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Solution

The third proportional to 38,718 and 59,840 is: 92,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,718 : 59,840 = 59,840 : x
  2. Step 2: Convert to fraction form
    38,718/59,840 = 59,840/x
  3. Step 3: Cross multiply
    38,718x = 59,840 × 59,840
  4. Step 4: Simplify right side
    38,718x = 3,580,825,600
  5. Step 5: Solve for x
    x = 3,580,825,600/38,718
  6. Step 6: Final answer
    x = 92,484.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.