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Finding the Third Proportional to 1,446.68 and 3,118.64

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Solution

The third proportional to 1,446.68 and 3,118.64 is: 6,722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.68 : 3,118.64 = 3,118.64 : x
  2. Step 2: Convert to fraction form
    1,446.68/3,118.64 = 3,118.64/x
  3. Step 3: Cross multiply
    1,446.68x = 3,118.64 × 3,118.64
  4. Step 4: Simplify right side
    1,446.68x = 9,725,919.35
  5. Step 5: Solve for x
    x = 9,725,919.35/1,446.68
  6. Step 6: Final answer
    x = 6,722.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.