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Finding the Third Proportional to 40,785 and 60,419

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Solution

The third proportional to 40,785 and 60,419 is: 89,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,785 : 60,419 = 60,419 : x
  2. Step 2: Convert to fraction form
    40,785/60,419 = 60,419/x
  3. Step 3: Cross multiply
    40,785x = 60,419 × 60,419
  4. Step 4: Simplify right side
    40,785x = 3,650,455,561
  5. Step 5: Solve for x
    x = 3,650,455,561/40,785
  6. Step 6: Final answer
    x = 89,504.86

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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.