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Finding the Third Proportional to 32,812 and 48,487

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Solution

The third proportional to 32,812 and 48,487 is: 71,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,812 : 48,487 = 48,487 : x
  2. Step 2: Convert to fraction form
    32,812/48,487 = 48,487/x
  3. Step 3: Cross multiply
    32,812x = 48,487 × 48,487
  4. Step 4: Simplify right side
    32,812x = 2,350,989,169
  5. Step 5: Solve for x
    x = 2,350,989,169/32,812
  6. Step 6: Final answer
    x = 71,650.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.