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Finding the Third Proportional to 5,794.59 and 10,761.47

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Solution

The third proportional to 5,794.59 and 10,761.47 is: 19,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.59 : 10,761.47 = 10,761.47 : x
  2. Step 2: Convert to fraction form
    5,794.59/10,761.47 = 10,761.47/x
  3. Step 3: Cross multiply
    5,794.59x = 10,761.47 × 10,761.47
  4. Step 4: Simplify right side
    5,794.59x = 115,809,209.66
  5. Step 5: Solve for x
    x = 115,809,209.66/5,794.59
  6. Step 6: Final answer
    x = 19,985.73

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.