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Finding the Third Proportional to 8,298.07 and 12,136.71

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Solution

The third proportional to 8,298.07 and 12,136.71 is: 17,751.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.07 : 12,136.71 = 12,136.71 : x
  2. Step 2: Convert to fraction form
    8,298.07/12,136.71 = 12,136.71/x
  3. Step 3: Cross multiply
    8,298.07x = 12,136.71 × 12,136.71
  4. Step 4: Simplify right side
    8,298.07x = 147,299,752.38
  5. Step 5: Solve for x
    x = 147,299,752.38/8,298.07
  6. Step 6: Final answer
    x = 17,751.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.