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Finding the Third Proportional to 5,887.69 and 9,474.47

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Solution

The third proportional to 5,887.69 and 9,474.47 is: 15,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.69 : 9,474.47 = 9,474.47 : x
  2. Step 2: Convert to fraction form
    5,887.69/9,474.47 = 9,474.47/x
  3. Step 3: Cross multiply
    5,887.69x = 9,474.47 × 9,474.47
  4. Step 4: Simplify right side
    5,887.69x = 89,765,558.09
  5. Step 5: Solve for x
    x = 89,765,558.09/5,887.69
  6. Step 6: Final answer
    x = 15,246.32

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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.