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Finding the Third Proportional to 24,146 and 52,432

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Solution

The third proportional to 24,146 and 52,432 is: 113,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146 : 52,432 = 52,432 : x
  2. Step 2: Convert to fraction form
    24,146/52,432 = 52,432/x
  3. Step 3: Cross multiply
    24,146x = 52,432 × 52,432
  4. Step 4: Simplify right side
    24,146x = 2,749,114,624
  5. Step 5: Solve for x
    x = 2,749,114,624/24,146
  6. Step 6: Final answer
    x = 113,853.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.