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Finding the Third Proportional to 24,470 and 54,314

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Solution

The third proportional to 24,470 and 54,314 is: 120,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470 : 54,314 = 54,314 : x
  2. Step 2: Convert to fraction form
    24,470/54,314 = 54,314/x
  3. Step 3: Cross multiply
    24,470x = 54,314 × 54,314
  4. Step 4: Simplify right side
    24,470x = 2,950,010,596
  5. Step 5: Solve for x
    x = 2,950,010,596/24,470
  6. Step 6: Final answer
    x = 120,556.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.