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Finding the Third Proportional to 5,891.91 and 7,187.06

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Solution

The third proportional to 5,891.91 and 7,187.06 is: 8,766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.91 : 7,187.06 = 7,187.06 : x
  2. Step 2: Convert to fraction form
    5,891.91/7,187.06 = 7,187.06/x
  3. Step 3: Cross multiply
    5,891.91x = 7,187.06 × 7,187.06
  4. Step 4: Simplify right side
    5,891.91x = 51,653,867.38
  5. Step 5: Solve for x
    x = 51,653,867.38/5,891.91
  6. Step 6: Final answer
    x = 8,766.92

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.