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Finding the Third Proportional to 10,776.38 and 17,136.56

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Solution

The third proportional to 10,776.38 and 17,136.56 is: 27,250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.38 : 17,136.56 = 17,136.56 : x
  2. Step 2: Convert to fraction form
    10,776.38/17,136.56 = 17,136.56/x
  3. Step 3: Cross multiply
    10,776.38x = 17,136.56 × 17,136.56
  4. Step 4: Simplify right side
    10,776.38x = 293,661,774.32
  5. Step 5: Solve for x
    x = 293,661,774.32/10,776.38
  6. Step 6: Final answer
    x = 27,250.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.