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Finding the Third Proportional to 999.75 and 1,581.75

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Solution

The third proportional to 999.75 and 1,581.75 is: 2,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.75 : 1,581.75 = 1,581.75 : x
  2. Step 2: Convert to fraction form
    999.75/1,581.75 = 1,581.75/x
  3. Step 3: Cross multiply
    999.75x = 1,581.75 × 1,581.75
  4. Step 4: Simplify right side
    999.75x = 2,501,933.06
  5. Step 5: Solve for x
    x = 2,501,933.06/999.75
  6. Step 6: Final answer
    x = 2,502.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.