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Finding the Third Proportional to 7,247.81 and 11,023.59

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Solution

The third proportional to 7,247.81 and 11,023.59 is: 16,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.81 : 11,023.59 = 11,023.59 : x
  2. Step 2: Convert to fraction form
    7,247.81/11,023.59 = 11,023.59/x
  3. Step 3: Cross multiply
    7,247.81x = 11,023.59 × 11,023.59
  4. Step 4: Simplify right side
    7,247.81x = 121,519,619.17
  5. Step 5: Solve for x
    x = 121,519,619.17/7,247.81
  6. Step 6: Final answer
    x = 16,766.39

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Why These Related Problems?

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