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Finding the Third Proportional to 4,750.88 and 10,321.88

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Solution

The third proportional to 4,750.88 and 10,321.88 is: 22,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.88 : 10,321.88 = 10,321.88 : x
  2. Step 2: Convert to fraction form
    4,750.88/10,321.88 = 10,321.88/x
  3. Step 3: Cross multiply
    4,750.88x = 10,321.88 × 10,321.88
  4. Step 4: Simplify right side
    4,750.88x = 106,541,103.52
  5. Step 5: Solve for x
    x = 106,541,103.52/4,750.88
  6. Step 6: Final answer
    x = 22,425.57

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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.