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Finding the Third Proportional to 32,585 and 50,374

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Solution

The third proportional to 32,585 and 50,374 is: 77,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,585 : 50,374 = 50,374 : x
  2. Step 2: Convert to fraction form
    32,585/50,374 = 50,374/x
  3. Step 3: Cross multiply
    32,585x = 50,374 × 50,374
  4. Step 4: Simplify right side
    32,585x = 2,537,539,876
  5. Step 5: Solve for x
    x = 2,537,539,876/32,585
  6. Step 6: Final answer
    x = 77,874.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.