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Finding the Third Proportional to 24,469 and 35,602

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Solution

The third proportional to 24,469 and 35,602 is: 51,800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469 : 35,602 = 35,602 : x
  2. Step 2: Convert to fraction form
    24,469/35,602 = 35,602/x
  3. Step 3: Cross multiply
    24,469x = 35,602 × 35,602
  4. Step 4: Simplify right side
    24,469x = 1,267,502,404
  5. Step 5: Solve for x
    x = 1,267,502,404/24,469
  6. Step 6: Final answer
    x = 51,800.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.