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Finding the Third Proportional to 6,661 and 10,113.50

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Solution

The third proportional to 6,661 and 10,113.50 is: 15,355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661 : 10,113.50 = 10,113.50 : x
  2. Step 2: Convert to fraction form
    6,661/10,113.50 = 10,113.50/x
  3. Step 3: Cross multiply
    6,661x = 10,113.50 × 10,113.50
  4. Step 4: Simplify right side
    6,661x = 102,282,882.25
  5. Step 5: Solve for x
    x = 102,282,882.25/6,661
  6. Step 6: Final answer
    x = 15,355.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.