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Finding the Third Proportional to 1,446.75 and 1,581.75

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Solution

The third proportional to 1,446.75 and 1,581.75 is: 1,729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.75 : 1,581.75 = 1,581.75 : x
  2. Step 2: Convert to fraction form
    1,446.75/1,581.75 = 1,581.75/x
  3. Step 3: Cross multiply
    1,446.75x = 1,581.75 × 1,581.75
  4. Step 4: Simplify right side
    1,446.75x = 2,501,933.06
  5. Step 5: Solve for x
    x = 2,501,933.06/1,446.75
  6. Step 6: Final answer
    x = 1,729.35

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.