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Finding the Third Proportional to 6,144.38 and 9,266.91

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Solution

The third proportional to 6,144.38 and 9,266.91 is: 13,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.38 : 9,266.91 = 9,266.91 : x
  2. Step 2: Convert to fraction form
    6,144.38/9,266.91 = 9,266.91/x
  3. Step 3: Cross multiply
    6,144.38x = 9,266.91 × 9,266.91
  4. Step 4: Simplify right side
    6,144.38x = 85,875,551.45
  5. Step 5: Solve for x
    x = 85,875,551.45/6,144.38
  6. Step 6: Final answer
    x = 13,976.29

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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.