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Finding the Third Proportional to 38,477 and 59,062

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Solution

The third proportional to 38,477 and 59,062 is: 90,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477 : 59,062 = 59,062 : x
  2. Step 2: Convert to fraction form
    38,477/59,062 = 59,062/x
  3. Step 3: Cross multiply
    38,477x = 59,062 × 59,062
  4. Step 4: Simplify right side
    38,477x = 3,488,319,844
  5. Step 5: Solve for x
    x = 3,488,319,844/38,477
  6. Step 6: Final answer
    x = 90,659.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.