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Finding the Third Proportional to 6,399.94 and 10,017.84

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Solution

The third proportional to 6,399.94 and 10,017.84 is: 15,680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.94 : 10,017.84 = 10,017.84 : x
  2. Step 2: Convert to fraction form
    6,399.94/10,017.84 = 10,017.84/x
  3. Step 3: Cross multiply
    6,399.94x = 10,017.84 × 10,017.84
  4. Step 4: Simplify right side
    6,399.94x = 100,357,193.40
  5. Step 5: Solve for x
    x = 100,357,193.40/6,399.94
  6. Step 6: Final answer
    x = 15,680.96

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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.