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Finding the Third Proportional to 6,046.31 and 9,104.91

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Solution

The third proportional to 6,046.31 and 9,104.91 is: 13,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.31 : 9,104.91 = 9,104.91 : x
  2. Step 2: Convert to fraction form
    6,046.31/9,104.91 = 9,104.91/x
  3. Step 3: Cross multiply
    6,046.31x = 9,104.91 × 9,104.91
  4. Step 4: Simplify right side
    6,046.31x = 82,899,317.82
  5. Step 5: Solve for x
    x = 82,899,317.82/6,046.31
  6. Step 6: Final answer
    x = 13,710.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.