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Finding the Third Proportional to 10,876.78 and 16,310.11

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Solution

The third proportional to 10,876.78 and 16,310.11 is: 24,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.78 : 16,310.11 = 16,310.11 : x
  2. Step 2: Convert to fraction form
    10,876.78/16,310.11 = 16,310.11/x
  3. Step 3: Cross multiply
    10,876.78x = 16,310.11 × 16,310.11
  4. Step 4: Simplify right side
    10,876.78x = 266,019,667.82
  5. Step 5: Solve for x
    x = 266,019,667.82/10,876.78
  6. Step 6: Final answer
    x = 24,457.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.