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Finding the Third Proportional to 1,711.50 and 2,487.56

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Solution

The third proportional to 1,711.50 and 2,487.56 is: 3,615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.50 : 2,487.56 = 2,487.56 : x
  2. Step 2: Convert to fraction form
    1,711.50/2,487.56 = 2,487.56/x
  3. Step 3: Cross multiply
    1,711.50x = 2,487.56 × 2,487.56
  4. Step 4: Simplify right side
    1,711.50x = 6,187,967.19
  5. Step 5: Solve for x
    x = 6,187,967.19/1,711.50
  6. Step 6: Final answer
    x = 3,615.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.