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Finding the Third Proportional to 6,068 and 9,061

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Solution

The third proportional to 6,068 and 9,061 is: 13,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,068 : 9,061 = 9,061 : x
  2. Step 2: Convert to fraction form
    6,068/9,061 = 9,061/x
  3. Step 3: Cross multiply
    6,068x = 9,061 × 9,061
  4. Step 4: Simplify right side
    6,068x = 82,101,721
  5. Step 5: Solve for x
    x = 82,101,721/6,068
  6. Step 6: Final answer
    x = 13,530.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.