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Finding the Third Proportional to 32,000 and 69,408

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Solution

The third proportional to 32,000 and 69,408 is: 150,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000 : 69,408 = 69,408 : x
  2. Step 2: Convert to fraction form
    32,000/69,408 = 69,408/x
  3. Step 3: Cross multiply
    32,000x = 69,408 × 69,408
  4. Step 4: Simplify right side
    32,000x = 4,817,470,464
  5. Step 5: Solve for x
    x = 4,817,470,464/32,000
  6. Step 6: Final answer
    x = 150,545.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.