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Finding the Third Proportional to 6,490.13 and 10,309.78

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Solution

The third proportional to 6,490.13 and 10,309.78 is: 16,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.13 : 10,309.78 = 10,309.78 : x
  2. Step 2: Convert to fraction form
    6,490.13/10,309.78 = 10,309.78/x
  3. Step 3: Cross multiply
    6,490.13x = 10,309.78 × 10,309.78
  4. Step 4: Simplify right side
    6,490.13x = 106,291,589.42
  5. Step 5: Solve for x
    x = 106,291,589.42/6,490.13
  6. Step 6: Final answer
    x = 16,377.43

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.