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Finding the Third Proportional to 32,340 and 48,384

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Solution

The third proportional to 32,340 and 48,384 is: 72,387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,340 : 48,384 = 48,384 : x
  2. Step 2: Convert to fraction form
    32,340/48,384 = 48,384/x
  3. Step 3: Cross multiply
    32,340x = 48,384 × 48,384
  4. Step 4: Simplify right side
    32,340x = 2,341,011,456
  5. Step 5: Solve for x
    x = 2,341,011,456/32,340
  6. Step 6: Final answer
    x = 72,387.49

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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.