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Finding the Third Proportional to 34,006.50 and 50,554.13

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Solution

The third proportional to 34,006.50 and 50,554.13 is: 75,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,006.50 : 50,554.13 = 50,554.13 : x
  2. Step 2: Convert to fraction form
    34,006.50/50,554.13 = 50,554.13/x
  3. Step 3: Cross multiply
    34,006.50x = 50,554.13 × 50,554.13
  4. Step 4: Simplify right side
    34,006.50x = 2,555,719,554.52
  5. Step 5: Solve for x
    x = 2,555,719,554.52/34,006.50
  6. Step 6: Final answer
    x = 75,153.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.