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Finding the Third Proportional to 37,408 and 79,432

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Solution

The third proportional to 37,408 and 79,432 is: 168,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,408 : 79,432 = 79,432 : x
  2. Step 2: Convert to fraction form
    37,408/79,432 = 79,432/x
  3. Step 3: Cross multiply
    37,408x = 79,432 × 79,432
  4. Step 4: Simplify right side
    37,408x = 6,309,442,624
  5. Step 5: Solve for x
    x = 6,309,442,624/37,408
  6. Step 6: Final answer
    x = 168,665.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.