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Finding the Third Proportional to 6,949.71 and 9,136.71

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Solution

The third proportional to 6,949.71 and 9,136.71 is: 12,011.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.71 : 9,136.71 = 9,136.71 : x
  2. Step 2: Convert to fraction form
    6,949.71/9,136.71 = 9,136.71/x
  3. Step 3: Cross multiply
    6,949.71x = 9,136.71 × 9,136.71
  4. Step 4: Simplify right side
    6,949.71x = 83,479,379.68
  5. Step 5: Solve for x
    x = 83,479,379.68/6,949.71
  6. Step 6: Final answer
    x = 12,011.93

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.