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Finding the Third Proportional to 24,384 and 32,688

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Solution

The third proportional to 24,384 and 32,688 is: 43,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384 : 32,688 = 32,688 : x
  2. Step 2: Convert to fraction form
    24,384/32,688 = 32,688/x
  3. Step 3: Cross multiply
    24,384x = 32,688 × 32,688
  4. Step 4: Simplify right side
    24,384x = 1,068,505,344
  5. Step 5: Solve for x
    x = 1,068,505,344/24,384
  6. Step 6: Final answer
    x = 43,819.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.