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Finding the Third Proportional to 2,737 and 4,519.50

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Solution

The third proportional to 2,737 and 4,519.50 is: 7,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737 : 4,519.50 = 4,519.50 : x
  2. Step 2: Convert to fraction form
    2,737/4,519.50 = 4,519.50/x
  3. Step 3: Cross multiply
    2,737x = 4,519.50 × 4,519.50
  4. Step 4: Simplify right side
    2,737x = 20,425,880.25
  5. Step 5: Solve for x
    x = 20,425,880.25/2,737
  6. Step 6: Final answer
    x = 7,462.87

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.