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Finding the Third Proportional to 27,645.05 and 41,696.02

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Solution

The third proportional to 27,645.05 and 41,696.02 is: 62,888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,645.05 : 41,696.02 = 41,696.02 : x
  2. Step 2: Convert to fraction form
    27,645.05/41,696.02 = 41,696.02/x
  3. Step 3: Cross multiply
    27,645.05x = 41,696.02 × 41,696.02
  4. Step 4: Simplify right side
    27,645.05x = 1,738,557,719.00
  5. Step 5: Solve for x
    x = 1,738,557,719.00/27,645.05
  6. Step 6: Final answer
    x = 62,888.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.