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Finding the Third Proportional to 24,552 and 35,884

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Solution

The third proportional to 24,552 and 35,884 is: 52,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,552 : 35,884 = 35,884 : x
  2. Step 2: Convert to fraction form
    24,552/35,884 = 35,884/x
  3. Step 3: Cross multiply
    24,552x = 35,884 × 35,884
  4. Step 4: Simplify right side
    24,552x = 1,287,661,456
  5. Step 5: Solve for x
    x = 1,287,661,456/24,552
  6. Step 6: Final answer
    x = 52,446.30

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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.