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Finding the Third Proportional to 25,995.75 and 53,221.13

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Solution

The third proportional to 25,995.75 and 53,221.13 is: 108,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,995.75 : 53,221.13 = 53,221.13 : x
  2. Step 2: Convert to fraction form
    25,995.75/53,221.13 = 53,221.13/x
  3. Step 3: Cross multiply
    25,995.75x = 53,221.13 × 53,221.13
  4. Step 4: Simplify right side
    25,995.75x = 2,832,488,146.27
  5. Step 5: Solve for x
    x = 2,832,488,146.27/25,995.75
  6. Step 6: Final answer
    x = 108,959.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.