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Finding the Third Proportional to 795.92 and 1,157.57

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Solution

The third proportional to 795.92 and 1,157.57 is: 1,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.92 : 1,157.57 = 1,157.57 : x
  2. Step 2: Convert to fraction form
    795.92/1,157.57 = 1,157.57/x
  3. Step 3: Cross multiply
    795.92x = 1,157.57 × 1,157.57
  4. Step 4: Simplify right side
    795.92x = 1,339,973.55
  5. Step 5: Solve for x
    x = 1,339,973.55/795.92
  6. Step 6: Final answer
    x = 1,683.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.