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Finding the Third Proportional to 38,441 and 59,660

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Solution

The third proportional to 38,441 and 59,660 is: 92,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,441 : 59,660 = 59,660 : x
  2. Step 2: Convert to fraction form
    38,441/59,660 = 59,660/x
  3. Step 3: Cross multiply
    38,441x = 59,660 × 59,660
  4. Step 4: Simplify right side
    38,441x = 3,559,315,600
  5. Step 5: Solve for x
    x = 3,559,315,600/38,441
  6. Step 6: Final answer
    x = 92,591.65

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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.