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Finding the Third Proportional to 24,158 and 35,372

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Solution

The third proportional to 24,158 and 35,372 is: 51,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,158 : 35,372 = 35,372 : x
  2. Step 2: Convert to fraction form
    24,158/35,372 = 35,372/x
  3. Step 3: Cross multiply
    24,158x = 35,372 × 35,372
  4. Step 4: Simplify right side
    24,158x = 1,251,178,384
  5. Step 5: Solve for x
    x = 1,251,178,384/24,158
  6. Step 6: Final answer
    x = 51,791.47

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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.