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Finding the Third Proportional to 12,696.75 and 27,854.25

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Solution

The third proportional to 12,696.75 and 27,854.25 is: 61,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.75 : 27,854.25 = 27,854.25 : x
  2. Step 2: Convert to fraction form
    12,696.75/27,854.25 = 27,854.25/x
  3. Step 3: Cross multiply
    12,696.75x = 27,854.25 × 27,854.25
  4. Step 4: Simplify right side
    12,696.75x = 775,859,243.06
  5. Step 5: Solve for x
    x = 775,859,243.06/12,696.75
  6. Step 6: Final answer
    x = 61,106.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.