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Finding the Third Proportional to 26,397 and 58,696.50

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Solution

The third proportional to 26,397 and 58,696.50 is: 130,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,397 : 58,696.50 = 58,696.50 : x
  2. Step 2: Convert to fraction form
    26,397/58,696.50 = 58,696.50/x
  3. Step 3: Cross multiply
    26,397x = 58,696.50 × 58,696.50
  4. Step 4: Simplify right side
    26,397x = 3,445,279,112.25
  5. Step 5: Solve for x
    x = 3,445,279,112.25/26,397
  6. Step 6: Final answer
    x = 130,517.83

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.