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Finding the Third Proportional to 5,382.07 and 8,577.14

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Solution

The third proportional to 5,382.07 and 8,577.14 is: 13,668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.07 : 8,577.14 = 8,577.14 : x
  2. Step 2: Convert to fraction form
    5,382.07/8,577.14 = 8,577.14/x
  3. Step 3: Cross multiply
    5,382.07x = 8,577.14 × 8,577.14
  4. Step 4: Simplify right side
    5,382.07x = 73,567,341.30
  5. Step 5: Solve for x
    x = 73,567,341.30/5,382.07
  6. Step 6: Final answer
    x = 13,668.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.