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Finding the Third Proportional to 34,967 and 55,396

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Solution

The third proportional to 34,967 and 55,396 is: 87,760.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,967 : 55,396 = 55,396 : x
  2. Step 2: Convert to fraction form
    34,967/55,396 = 55,396/x
  3. Step 3: Cross multiply
    34,967x = 55,396 × 55,396
  4. Step 4: Simplify right side
    34,967x = 3,068,716,816
  5. Step 5: Solve for x
    x = 3,068,716,816/34,967
  6. Step 6: Final answer
    x = 87,760.37

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.