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Finding the Third Proportional to 24,138 and 51,564

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Solution

The third proportional to 24,138 and 51,564 is: 110,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,138 : 51,564 = 51,564 : x
  2. Step 2: Convert to fraction form
    24,138/51,564 = 51,564/x
  3. Step 3: Cross multiply
    24,138x = 51,564 × 51,564
  4. Step 4: Simplify right side
    24,138x = 2,658,846,096
  5. Step 5: Solve for x
    x = 2,658,846,096/24,138
  6. Step 6: Final answer
    x = 110,151.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.