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Finding the Third Proportional to 10,877.75 and 23,752.75

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Solution

The third proportional to 10,877.75 and 23,752.75 is: 51,866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.75 : 23,752.75 = 23,752.75 : x
  2. Step 2: Convert to fraction form
    10,877.75/23,752.75 = 23,752.75/x
  3. Step 3: Cross multiply
    10,877.75x = 23,752.75 × 23,752.75
  4. Step 4: Simplify right side
    10,877.75x = 564,193,132.56
  5. Step 5: Solve for x
    x = 564,193,132.56/10,877.75
  6. Step 6: Final answer
    x = 51,866.71

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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.