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Finding the Third Proportional to 3,947.17 and 8,526.83

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Solution

The third proportional to 3,947.17 and 8,526.83 is: 18,420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.17 : 8,526.83 = 8,526.83 : x
  2. Step 2: Convert to fraction form
    3,947.17/8,526.83 = 8,526.83/x
  3. Step 3: Cross multiply
    3,947.17x = 8,526.83 × 8,526.83
  4. Step 4: Simplify right side
    3,947.17x = 72,706,864.49
  5. Step 5: Solve for x
    x = 72,706,864.49/3,947.17
  6. Step 6: Final answer
    x = 18,420.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.