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Finding the Third Proportional to 24,528 and 32,680

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Solution

The third proportional to 24,528 and 32,680 is: 43,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,528 : 32,680 = 32,680 : x
  2. Step 2: Convert to fraction form
    24,528/32,680 = 32,680/x
  3. Step 3: Cross multiply
    24,528x = 32,680 × 32,680
  4. Step 4: Simplify right side
    24,528x = 1,067,982,400
  5. Step 5: Solve for x
    x = 1,067,982,400/24,528
  6. Step 6: Final answer
    x = 43,541.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.