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Finding the Third Proportional to 9,577.88 and 15,379.31

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Solution

The third proportional to 9,577.88 and 15,379.31 is: 24,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.88 : 15,379.31 = 15,379.31 : x
  2. Step 2: Convert to fraction form
    9,577.88/15,379.31 = 15,379.31/x
  3. Step 3: Cross multiply
    9,577.88x = 15,379.31 × 15,379.31
  4. Step 4: Simplify right side
    9,577.88x = 236,523,252.97
  5. Step 5: Solve for x
    x = 236,523,252.97/9,577.88
  6. Step 6: Final answer
    x = 24,694.75

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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.