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Finding the Third Proportional to 27,713.39 and 59,584.36

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Solution

The third proportional to 27,713.39 and 59,584.36 is: 128,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713.39 : 59,584.36 = 59,584.36 : x
  2. Step 2: Convert to fraction form
    27,713.39/59,584.36 = 59,584.36/x
  3. Step 3: Cross multiply
    27,713.39x = 59,584.36 × 59,584.36
  4. Step 4: Simplify right side
    27,713.39x = 3,550,295,882.13
  5. Step 5: Solve for x
    x = 3,550,295,882.13/27,713.39
  6. Step 6: Final answer
    x = 128,107.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.