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Finding the Third Proportional to 5,761.69 and 8,605.69

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Solution

The third proportional to 5,761.69 and 8,605.69 is: 12,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.69 : 8,605.69 = 8,605.69 : x
  2. Step 2: Convert to fraction form
    5,761.69/8,605.69 = 8,605.69/x
  3. Step 3: Cross multiply
    5,761.69x = 8,605.69 × 8,605.69
  4. Step 4: Simplify right side
    5,761.69x = 74,057,857.35
  5. Step 5: Solve for x
    x = 74,057,857.35/5,761.69
  6. Step 6: Final answer
    x = 12,853.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.