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Finding the Third Proportional to 26,706.75 and 57,696.38

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Solution

The third proportional to 26,706.75 and 57,696.38 is: 124,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706.75 : 57,696.38 = 57,696.38 : x
  2. Step 2: Convert to fraction form
    26,706.75/57,696.38 = 57,696.38/x
  3. Step 3: Cross multiply
    26,706.75x = 57,696.38 × 57,696.38
  4. Step 4: Simplify right side
    26,706.75x = 3,328,871,688.14
  5. Step 5: Solve for x
    x = 3,328,871,688.14/26,706.75
  6. Step 6: Final answer
    x = 124,645.33

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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.