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Finding the Third Proportional to 43,768 and 66,012

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Solution

The third proportional to 43,768 and 66,012 is: 99,560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,768 : 66,012 = 66,012 : x
  2. Step 2: Convert to fraction form
    43,768/66,012 = 66,012/x
  3. Step 3: Cross multiply
    43,768x = 66,012 × 66,012
  4. Step 4: Simplify right side
    43,768x = 4,357,584,144
  5. Step 5: Solve for x
    x = 4,357,584,144/43,768
  6. Step 6: Final answer
    x = 99,560.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.