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Finding the Third Proportional to 2,122.50 and 3,744.75

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Solution

The third proportional to 2,122.50 and 3,744.75 is: 6,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.50 : 3,744.75 = 3,744.75 : x
  2. Step 2: Convert to fraction form
    2,122.50/3,744.75 = 3,744.75/x
  3. Step 3: Cross multiply
    2,122.50x = 3,744.75 × 3,744.75
  4. Step 4: Simplify right side
    2,122.50x = 14,023,152.56
  5. Step 5: Solve for x
    x = 14,023,152.56/2,122.50
  6. Step 6: Final answer
    x = 6,606.90

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.