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Finding the Third Proportional to 38,584 and 58,291

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Solution

The third proportional to 38,584 and 58,291 is: 88,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,584 : 58,291 = 58,291 : x
  2. Step 2: Convert to fraction form
    38,584/58,291 = 58,291/x
  3. Step 3: Cross multiply
    38,584x = 58,291 × 58,291
  4. Step 4: Simplify right side
    38,584x = 3,397,840,681
  5. Step 5: Solve for x
    x = 3,397,840,681/38,584
  6. Step 6: Final answer
    x = 88,063.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.