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Finding the Third Proportional to 38,962 and 58,442

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Solution

The third proportional to 38,962 and 58,442 is: 87,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,962 : 58,442 = 58,442 : x
  2. Step 2: Convert to fraction form
    38,962/58,442 = 58,442/x
  3. Step 3: Cross multiply
    38,962x = 58,442 × 58,442
  4. Step 4: Simplify right side
    38,962x = 3,415,467,364
  5. Step 5: Solve for x
    x = 3,415,467,364/38,962
  6. Step 6: Final answer
    x = 87,661.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.