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Finding the Third Proportional to 27,778.50 and 59,922

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Solution

The third proportional to 27,778.50 and 59,922 is: 129,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.50 : 59,922 = 59,922 : x
  2. Step 2: Convert to fraction form
    27,778.50/59,922 = 59,922/x
  3. Step 3: Cross multiply
    27,778.50x = 59,922 × 59,922
  4. Step 4: Simplify right side
    27,778.50x = 3,590,646,084
  5. Step 5: Solve for x
    x = 3,590,646,084/27,778.50
  6. Step 6: Final answer
    x = 129,259.90

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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.