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Finding the Third Proportional to 2,086.50 and 3,123.25

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Solution

The third proportional to 2,086.50 and 3,123.25 is: 4,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.50 : 3,123.25 = 3,123.25 : x
  2. Step 2: Convert to fraction form
    2,086.50/3,123.25 = 3,123.25/x
  3. Step 3: Cross multiply
    2,086.50x = 3,123.25 × 3,123.25
  4. Step 4: Simplify right side
    2,086.50x = 9,754,690.56
  5. Step 5: Solve for x
    x = 9,754,690.56/2,086.50
  6. Step 6: Final answer
    x = 4,675.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.