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Finding the Third Proportional to 24,398 and 35,667

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Solution

The third proportional to 24,398 and 35,667 is: 52,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,398 : 35,667 = 35,667 : x
  2. Step 2: Convert to fraction form
    24,398/35,667 = 35,667/x
  3. Step 3: Cross multiply
    24,398x = 35,667 × 35,667
  4. Step 4: Simplify right side
    24,398x = 1,272,134,889
  5. Step 5: Solve for x
    x = 1,272,134,889/24,398
  6. Step 6: Final answer
    x = 52,140.95

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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.