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Finding the Third Proportional to 753.68 and 1,682.02

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Solution

The third proportional to 753.68 and 1,682.02 is: 3,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.68 : 1,682.02 = 1,682.02 : x
  2. Step 2: Convert to fraction form
    753.68/1,682.02 = 1,682.02/x
  3. Step 3: Cross multiply
    753.68x = 1,682.02 × 1,682.02
  4. Step 4: Simplify right side
    753.68x = 2,829,176.56
  5. Step 5: Solve for x
    x = 2,829,176.56/753.68
  6. Step 6: Final answer
    x = 3,753.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.