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Finding the Third Proportional to 38,120 and 60,636

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Solution

The third proportional to 38,120 and 60,636 is: 96,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,120 : 60,636 = 60,636 : x
  2. Step 2: Convert to fraction form
    38,120/60,636 = 60,636/x
  3. Step 3: Cross multiply
    38,120x = 60,636 × 60,636
  4. Step 4: Simplify right side
    38,120x = 3,676,724,496
  5. Step 5: Solve for x
    x = 3,676,724,496/38,120
  6. Step 6: Final answer
    x = 96,451.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.