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Finding the Third Proportional to 10,041.75 and 11,499.75

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Solution

The third proportional to 10,041.75 and 11,499.75 is: 13,169.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.75 : 11,499.75 = 11,499.75 : x
  2. Step 2: Convert to fraction form
    10,041.75/11,499.75 = 11,499.75/x
  3. Step 3: Cross multiply
    10,041.75x = 11,499.75 × 11,499.75
  4. Step 4: Simplify right side
    10,041.75x = 132,244,250.06
  5. Step 5: Solve for x
    x = 132,244,250.06/10,041.75
  6. Step 6: Final answer
    x = 13,169.44

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.