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Finding the Third Proportional to 27,866.25 and 54,335.25

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Solution

The third proportional to 27,866.25 and 54,335.25 is: 105,946.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866.25 : 54,335.25 = 54,335.25 : x
  2. Step 2: Convert to fraction form
    27,866.25/54,335.25 = 54,335.25/x
  3. Step 3: Cross multiply
    27,866.25x = 54,335.25 × 54,335.25
  4. Step 4: Simplify right side
    27,866.25x = 2,952,319,392.56
  5. Step 5: Solve for x
    x = 2,952,319,392.56/27,866.25
  6. Step 6: Final answer
    x = 105,946.06

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.