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Finding the Third Proportional to 27,251.25 and 58,802.25

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Solution

The third proportional to 27,251.25 and 58,802.25 is: 126,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,251.25 : 58,802.25 = 58,802.25 : x
  2. Step 2: Convert to fraction form
    27,251.25/58,802.25 = 58,802.25/x
  3. Step 3: Cross multiply
    27,251.25x = 58,802.25 × 58,802.25
  4. Step 4: Simplify right side
    27,251.25x = 3,457,704,605.06
  5. Step 5: Solve for x
    x = 3,457,704,605.06/27,251.25
  6. Step 6: Final answer
    x = 126,882.42

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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.