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Finding the Third Proportional to 815.06 and 1,757.53

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Solution

The third proportional to 815.06 and 1,757.53 is: 3,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.06 : 1,757.53 = 1,757.53 : x
  2. Step 2: Convert to fraction form
    815.06/1,757.53 = 1,757.53/x
  3. Step 3: Cross multiply
    815.06x = 1,757.53 × 1,757.53
  4. Step 4: Simplify right side
    815.06x = 3,088,916.09
  5. Step 5: Solve for x
    x = 3,088,916.09/815.06
  6. Step 6: Final answer
    x = 3,789.79

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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.