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Finding the Third Proportional to 9,791.25 and 15,765.19

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Solution

The third proportional to 9,791.25 and 15,765.19 is: 25,384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.25 : 15,765.19 = 15,765.19 : x
  2. Step 2: Convert to fraction form
    9,791.25/15,765.19 = 15,765.19/x
  3. Step 3: Cross multiply
    9,791.25x = 15,765.19 × 15,765.19
  4. Step 4: Simplify right side
    9,791.25x = 248,541,136.91
  5. Step 5: Solve for x
    x = 248,541,136.91/9,791.25
  6. Step 6: Final answer
    x = 25,384.00

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.