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Finding the Third Proportional to 24,314 and 53,126

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Solution

The third proportional to 24,314 and 53,126 is: 116,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314 : 53,126 = 53,126 : x
  2. Step 2: Convert to fraction form
    24,314/53,126 = 53,126/x
  3. Step 3: Cross multiply
    24,314x = 53,126 × 53,126
  4. Step 4: Simplify right side
    24,314x = 2,822,371,876
  5. Step 5: Solve for x
    x = 2,822,371,876/24,314
  6. Step 6: Final answer
    x = 116,080.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.