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Finding the Third Proportional to 6,878.25 and 10,729.13

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Solution

The third proportional to 6,878.25 and 10,729.13 is: 16,735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.25 : 10,729.13 = 10,729.13 : x
  2. Step 2: Convert to fraction form
    6,878.25/10,729.13 = 10,729.13/x
  3. Step 3: Cross multiply
    6,878.25x = 10,729.13 × 10,729.13
  4. Step 4: Simplify right side
    6,878.25x = 115,114,123.27
  5. Step 5: Solve for x
    x = 115,114,123.27/6,878.25
  6. Step 6: Final answer
    x = 16,735.96

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.