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Finding the Third Proportional to 24,408 and 35,685

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Solution

The third proportional to 24,408 and 35,685 is: 52,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408 : 35,685 = 35,685 : x
  2. Step 2: Convert to fraction form
    24,408/35,685 = 35,685/x
  3. Step 3: Cross multiply
    24,408x = 35,685 × 35,685
  4. Step 4: Simplify right side
    24,408x = 1,273,419,225
  5. Step 5: Solve for x
    x = 1,273,419,225/24,408
  6. Step 6: Final answer
    x = 52,172.21

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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.