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Finding the Third Proportional to 6,986.88 and 10,385.38

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Solution

The third proportional to 6,986.88 and 10,385.38 is: 15,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.88 : 10,385.38 = 10,385.38 : x
  2. Step 2: Convert to fraction form
    6,986.88/10,385.38 = 10,385.38/x
  3. Step 3: Cross multiply
    6,986.88x = 10,385.38 × 10,385.38
  4. Step 4: Simplify right side
    6,986.88x = 107,856,013.89
  5. Step 5: Solve for x
    x = 107,856,013.89/6,986.88
  6. Step 6: Final answer
    x = 15,436.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.