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Finding the Third Proportional to 6,647.38 and 10,429.13

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Solution

The third proportional to 6,647.38 and 10,429.13 is: 16,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.38 : 10,429.13 = 10,429.13 : x
  2. Step 2: Convert to fraction form
    6,647.38/10,429.13 = 10,429.13/x
  3. Step 3: Cross multiply
    6,647.38x = 10,429.13 × 10,429.13
  4. Step 4: Simplify right side
    6,647.38x = 108,766,648.27
  5. Step 5: Solve for x
    x = 108,766,648.27/6,647.38
  6. Step 6: Final answer
    x = 16,362.35

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.