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Finding the Third Proportional to 32,454 and 67,374

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Solution

The third proportional to 32,454 and 67,374 is: 139,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454 : 67,374 = 67,374 : x
  2. Step 2: Convert to fraction form
    32,454/67,374 = 67,374/x
  3. Step 3: Cross multiply
    32,454x = 67,374 × 67,374
  4. Step 4: Simplify right side
    32,454x = 4,539,255,876
  5. Step 5: Solve for x
    x = 4,539,255,876/32,454
  6. Step 6: Final answer
    x = 139,867.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.