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Finding the Third Proportional to 24,382 and 32,685

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Solution

The third proportional to 24,382 and 32,685 is: 43,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382 : 32,685 = 32,685 : x
  2. Step 2: Convert to fraction form
    24,382/32,685 = 32,685/x
  3. Step 3: Cross multiply
    24,382x = 32,685 × 32,685
  4. Step 4: Simplify right side
    24,382x = 1,068,309,225
  5. Step 5: Solve for x
    x = 1,068,309,225/24,382
  6. Step 6: Final answer
    x = 43,815.49

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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.