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Finding the Third Proportional to 38,337 and 58,719

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Solution

The third proportional to 38,337 and 58,719 is: 89,937.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,337 : 58,719 = 58,719 : x
  2. Step 2: Convert to fraction form
    38,337/58,719 = 58,719/x
  3. Step 3: Cross multiply
    38,337x = 58,719 × 58,719
  4. Step 4: Simplify right side
    38,337x = 3,447,920,961
  5. Step 5: Solve for x
    x = 3,447,920,961/38,337
  6. Step 6: Final answer
    x = 89,937.16

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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.