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Finding the Third Proportional to 1,612.59 and 3,532.78

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Solution

The third proportional to 1,612.59 and 3,532.78 is: 7,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.59 : 3,532.78 = 3,532.78 : x
  2. Step 2: Convert to fraction form
    1,612.59/3,532.78 = 3,532.78/x
  3. Step 3: Cross multiply
    1,612.59x = 3,532.78 × 3,532.78
  4. Step 4: Simplify right side
    1,612.59x = 12,480,543.36
  5. Step 5: Solve for x
    x = 12,480,543.36/1,612.59
  6. Step 6: Final answer
    x = 7,739.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.