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Finding the Third Proportional to 6,294.38 and 13,718.53

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Solution

The third proportional to 6,294.38 and 13,718.53 is: 29,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.38 : 13,718.53 = 13,718.53 : x
  2. Step 2: Convert to fraction form
    6,294.38/13,718.53 = 13,718.53/x
  3. Step 3: Cross multiply
    6,294.38x = 13,718.53 × 13,718.53
  4. Step 4: Simplify right side
    6,294.38x = 188,198,099.66
  5. Step 5: Solve for x
    x = 188,198,099.66/6,294.38
  6. Step 6: Final answer
    x = 29,899.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.