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Finding the Third Proportional to 32,427 and 48,645

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Solution

The third proportional to 32,427 and 48,645 is: 72,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427 : 48,645 = 48,645 : x
  2. Step 2: Convert to fraction form
    32,427/48,645 = 48,645/x
  3. Step 3: Cross multiply
    32,427x = 48,645 × 48,645
  4. Step 4: Simplify right side
    32,427x = 2,366,336,025
  5. Step 5: Solve for x
    x = 2,366,336,025/32,427
  6. Step 6: Final answer
    x = 72,974.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.