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Finding the Third Proportional to 26,706.38 and 57,695.63

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Solution

The third proportional to 26,706.38 and 57,695.63 is: 124,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706.38 : 57,695.63 = 57,695.63 : x
  2. Step 2: Convert to fraction form
    26,706.38/57,695.63 = 57,695.63/x
  3. Step 3: Cross multiply
    26,706.38x = 57,695.63 × 57,695.63
  4. Step 4: Simplify right side
    26,706.38x = 3,328,785,144.14
  5. Step 5: Solve for x
    x = 3,328,785,144.14/26,706.38
  6. Step 6: Final answer
    x = 124,643.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.