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Finding the Third Proportional to 3,284.44 and 7,207.59

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Solution

The third proportional to 3,284.44 and 7,207.59 is: 15,816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.44 : 7,207.59 = 7,207.59 : x
  2. Step 2: Convert to fraction form
    3,284.44/7,207.59 = 7,207.59/x
  3. Step 3: Cross multiply
    3,284.44x = 7,207.59 × 7,207.59
  4. Step 4: Simplify right side
    3,284.44x = 51,949,407.67
  5. Step 5: Solve for x
    x = 51,949,407.67/3,284.44
  6. Step 6: Final answer
    x = 15,816.84

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1.5x scale

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.