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Finding the Third Proportional to 27,765.75 and 59,964.38

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Solution

The third proportional to 27,765.75 and 59,964.38 is: 129,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765.75 : 59,964.38 = 59,964.38 : x
  2. Step 2: Convert to fraction form
    27,765.75/59,964.38 = 59,964.38/x
  3. Step 3: Cross multiply
    27,765.75x = 59,964.38 × 59,964.38
  4. Step 4: Simplify right side
    27,765.75x = 3,595,726,269.14
  5. Step 5: Solve for x
    x = 3,595,726,269.14/27,765.75
  6. Step 6: Final answer
    x = 129,502.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.