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Finding the Third Proportional to 1,446.19 and 2,060.86

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Solution

The third proportional to 1,446.19 and 2,060.86 is: 2,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.19 : 2,060.86 = 2,060.86 : x
  2. Step 2: Convert to fraction form
    1,446.19/2,060.86 = 2,060.86/x
  3. Step 3: Cross multiply
    1,446.19x = 2,060.86 × 2,060.86
  4. Step 4: Simplify right side
    1,446.19x = 4,247,141.36
  5. Step 5: Solve for x
    x = 4,247,141.36/1,446.19
  6. Step 6: Final answer
    x = 2,936.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.