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Finding the Third Proportional to 34,950 and 55,591.50

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Solution

The third proportional to 34,950 and 55,591.50 is: 88,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,950 : 55,591.50 = 55,591.50 : x
  2. Step 2: Convert to fraction form
    34,950/55,591.50 = 55,591.50/x
  3. Step 3: Cross multiply
    34,950x = 55,591.50 × 55,591.50
  4. Step 4: Simplify right side
    34,950x = 3,090,414,872.25
  5. Step 5: Solve for x
    x = 3,090,414,872.25/34,950
  6. Step 6: Final answer
    x = 88,423.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.