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Finding the Third Proportional to 32,418 and 41,420

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Solution

The third proportional to 32,418 and 41,420 is: 52,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,418 : 41,420 = 41,420 : x
  2. Step 2: Convert to fraction form
    32,418/41,420 = 41,420/x
  3. Step 3: Cross multiply
    32,418x = 41,420 × 41,420
  4. Step 4: Simplify right side
    32,418x = 1,715,616,400
  5. Step 5: Solve for x
    x = 1,715,616,400/32,418
  6. Step 6: Final answer
    x = 52,921.72

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.