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Finding the Third Proportional to 1,725.68 and 2,008.55

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Solution

The third proportional to 1,725.68 and 2,008.55 is: 2,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.68 : 2,008.55 = 2,008.55 : x
  2. Step 2: Convert to fraction form
    1,725.68/2,008.55 = 2,008.55/x
  3. Step 3: Cross multiply
    1,725.68x = 2,008.55 × 2,008.55
  4. Step 4: Simplify right side
    1,725.68x = 4,034,260.55
  5. Step 5: Solve for x
    x = 4,034,260.55/1,725.68
  6. Step 6: Final answer
    x = 2,337.78

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.