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Finding the Third Proportional to 24,166 and 52,483

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Solution

The third proportional to 24,166 and 52,483 is: 113,981.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,166 : 52,483 = 52,483 : x
  2. Step 2: Convert to fraction form
    24,166/52,483 = 52,483/x
  3. Step 3: Cross multiply
    24,166x = 52,483 × 52,483
  4. Step 4: Simplify right side
    24,166x = 2,754,465,289
  5. Step 5: Solve for x
    x = 2,754,465,289/24,166
  6. Step 6: Final answer
    x = 113,981.02

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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.