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Finding the Third Proportional to 9,114.75 and 10,734.75

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Solution

The third proportional to 9,114.75 and 10,734.75 is: 12,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.75 : 10,734.75 = 10,734.75 : x
  2. Step 2: Convert to fraction form
    9,114.75/10,734.75 = 10,734.75/x
  3. Step 3: Cross multiply
    9,114.75x = 10,734.75 × 10,734.75
  4. Step 4: Simplify right side
    9,114.75x = 115,234,857.56
  5. Step 5: Solve for x
    x = 115,234,857.56/9,114.75
  6. Step 6: Final answer
    x = 12,642.68

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.