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Finding the Third Proportional to 27,696.75 and 60,470.25

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Solution

The third proportional to 27,696.75 and 60,470.25 is: 132,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,696.75 : 60,470.25 = 60,470.25 : x
  2. Step 2: Convert to fraction form
    27,696.75/60,470.25 = 60,470.25/x
  3. Step 3: Cross multiply
    27,696.75x = 60,470.25 × 60,470.25
  4. Step 4: Simplify right side
    27,696.75x = 3,656,651,135.06
  5. Step 5: Solve for x
    x = 3,656,651,135.06/27,696.75
  6. Step 6: Final answer
    x = 132,024.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.