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Finding the Third Proportional to 7,757.02 and 10,967.27

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Solution

The third proportional to 7,757.02 and 10,967.27 is: 15,506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.02 : 10,967.27 = 10,967.27 : x
  2. Step 2: Convert to fraction form
    7,757.02/10,967.27 = 10,967.27/x
  3. Step 3: Cross multiply
    7,757.02x = 10,967.27 × 10,967.27
  4. Step 4: Simplify right side
    7,757.02x = 120,281,086.65
  5. Step 5: Solve for x
    x = 120,281,086.65/7,757.02
  6. Step 6: Final answer
    x = 15,506.10

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.