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Finding the Third Proportional to 27,966.75 and 43,206.75

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Solution

The third proportional to 27,966.75 and 43,206.75 is: 66,751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,966.75 : 43,206.75 = 43,206.75 : x
  2. Step 2: Convert to fraction form
    27,966.75/43,206.75 = 43,206.75/x
  3. Step 3: Cross multiply
    27,966.75x = 43,206.75 × 43,206.75
  4. Step 4: Simplify right side
    27,966.75x = 1,866,823,245.56
  5. Step 5: Solve for x
    x = 1,866,823,245.56/27,966.75
  6. Step 6: Final answer
    x = 66,751.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.