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Finding the Third Proportional to 34,465.50 and 55,296

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Solution

The third proportional to 34,465.50 and 55,296 is: 88,716.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,465.50 : 55,296 = 55,296 : x
  2. Step 2: Convert to fraction form
    34,465.50/55,296 = 55,296/x
  3. Step 3: Cross multiply
    34,465.50x = 55,296 × 55,296
  4. Step 4: Simplify right side
    34,465.50x = 3,057,647,616
  5. Step 5: Solve for x
    x = 3,057,647,616/34,465.50
  6. Step 6: Final answer
    x = 88,716.18

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.