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Finding the Third Proportional to 1,608.19 and 2,405.74

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Solution

The third proportional to 1,608.19 and 2,405.74 is: 3,598.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.19 : 2,405.74 = 2,405.74 : x
  2. Step 2: Convert to fraction form
    1,608.19/2,405.74 = 2,405.74/x
  3. Step 3: Cross multiply
    1,608.19x = 2,405.74 × 2,405.74
  4. Step 4: Simplify right side
    1,608.19x = 5,787,595.47
  5. Step 5: Solve for x
    x = 5,787,595.47/1,608.19
  6. Step 6: Final answer
    x = 3,598.83

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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.