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Finding the Third Proportional to 10,195.88 and 15,757.88

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Solution

The third proportional to 10,195.88 and 15,757.88 is: 24,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.88 : 15,757.88 = 15,757.88 : x
  2. Step 2: Convert to fraction form
    10,195.88/15,757.88 = 15,757.88/x
  3. Step 3: Cross multiply
    10,195.88x = 15,757.88 × 15,757.88
  4. Step 4: Simplify right side
    10,195.88x = 248,310,624.52
  5. Step 5: Solve for x
    x = 248,310,624.52/10,195.88
  6. Step 6: Final answer
    x = 24,354.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.