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Finding the Third Proportional to 24,489 and 35,883

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Solution

The third proportional to 24,489 and 35,883 is: 52,578.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,489 : 35,883 = 35,883 : x
  2. Step 2: Convert to fraction form
    24,489/35,883 = 35,883/x
  3. Step 3: Cross multiply
    24,489x = 35,883 × 35,883
  4. Step 4: Simplify right side
    24,489x = 1,287,589,689
  5. Step 5: Solve for x
    x = 1,287,589,689/24,489
  6. Step 6: Final answer
    x = 52,578.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.