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Finding the Third Proportional to 6,174.98 and 9,578.88

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Solution

The third proportional to 6,174.98 and 9,578.88 is: 14,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.98 : 9,578.88 = 9,578.88 : x
  2. Step 2: Convert to fraction form
    6,174.98/9,578.88 = 9,578.88/x
  3. Step 3: Cross multiply
    6,174.98x = 9,578.88 × 9,578.88
  4. Step 4: Simplify right side
    6,174.98x = 91,754,995.94
  5. Step 5: Solve for x
    x = 91,754,995.94/6,174.98
  6. Step 6: Final answer
    x = 14,859.15

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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.