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Finding the Third Proportional to 6,916.13 and 10,380.94

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Solution

The third proportional to 6,916.13 and 10,380.94 is: 15,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.13 : 10,380.94 = 10,380.94 : x
  2. Step 2: Convert to fraction form
    6,916.13/10,380.94 = 10,380.94/x
  3. Step 3: Cross multiply
    6,916.13x = 10,380.94 × 10,380.94
  4. Step 4: Simplify right side
    6,916.13x = 107,763,863.38
  5. Step 5: Solve for x
    x = 107,763,863.38/6,916.13
  6. Step 6: Final answer
    x = 15,581.54

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Why These Related Problems?

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