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Finding the Third Proportional to 1,711 and 2,566.50

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Solution

The third proportional to 1,711 and 2,566.50 is: 3,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711 : 2,566.50 = 2,566.50 : x
  2. Step 2: Convert to fraction form
    1,711/2,566.50 = 2,566.50/x
  3. Step 3: Cross multiply
    1,711x = 2,566.50 × 2,566.50
  4. Step 4: Simplify right side
    1,711x = 6,586,922.25
  5. Step 5: Solve for x
    x = 6,586,922.25/1,711
  6. Step 6: Final answer
    x = 3,849.75

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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.