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Finding the Third Proportional to 43,867.83 and 66,725.02

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Solution

The third proportional to 43,867.83 and 66,725.02 is: 101,491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,867.83 : 66,725.02 = 66,725.02 : x
  2. Step 2: Convert to fraction form
    43,867.83/66,725.02 = 66,725.02/x
  3. Step 3: Cross multiply
    43,867.83x = 66,725.02 × 66,725.02
  4. Step 4: Simplify right side
    43,867.83x = 4,452,227,710.16
  5. Step 5: Solve for x
    x = 4,452,227,710.16/43,867.83
  6. Step 6: Final answer
    x = 101,491.87

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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.