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Finding the Third Proportional to 27,775.13 and 43,012.69

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Solution

The third proportional to 27,775.13 and 43,012.69 is: 66,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.13 : 43,012.69 = 43,012.69 : x
  2. Step 2: Convert to fraction form
    27,775.13/43,012.69 = 43,012.69/x
  3. Step 3: Cross multiply
    27,775.13x = 43,012.69 × 43,012.69
  4. Step 4: Simplify right side
    27,775.13x = 1,850,091,285.97
  5. Step 5: Solve for x
    x = 1,850,091,285.97/27,775.13
  6. Step 6: Final answer
    x = 66,609.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.