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Finding the Third Proportional to 24,532 and 35,920

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Solution

The third proportional to 24,532 and 35,920 is: 52,594.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532 : 35,920 = 35,920 : x
  2. Step 2: Convert to fraction form
    24,532/35,920 = 35,920/x
  3. Step 3: Cross multiply
    24,532x = 35,920 × 35,920
  4. Step 4: Simplify right side
    24,532x = 1,290,246,400
  5. Step 5: Solve for x
    x = 1,290,246,400/24,532
  6. Step 6: Final answer
    x = 52,594.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.