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Finding the Third Proportional to 24,165 and 52,482

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Solution

The third proportional to 24,165 and 52,482 is: 113,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,165 : 52,482 = 52,482 : x
  2. Step 2: Convert to fraction form
    24,165/52,482 = 52,482/x
  3. Step 3: Cross multiply
    24,165x = 52,482 × 52,482
  4. Step 4: Simplify right side
    24,165x = 2,754,360,324
  5. Step 5: Solve for x
    x = 2,754,360,324/24,165
  6. Step 6: Final answer
    x = 113,981.39

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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.