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Finding the Third Proportional to 3,111.19 and 5,491.69

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Solution

The third proportional to 3,111.19 and 5,491.69 is: 9,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.19 : 5,491.69 = 5,491.69 : x
  2. Step 2: Convert to fraction form
    3,111.19/5,491.69 = 5,491.69/x
  3. Step 3: Cross multiply
    3,111.19x = 5,491.69 × 5,491.69
  4. Step 4: Simplify right side
    3,111.19x = 30,158,631.60
  5. Step 5: Solve for x
    x = 30,158,631.60/3,111.19
  6. Step 6: Final answer
    x = 9,693.61

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.