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Finding the Third Proportional to 1,596.75 and 2,562.38

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Solution

The third proportional to 1,596.75 and 2,562.38 is: 4,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.75 : 2,562.38 = 2,562.38 : x
  2. Step 2: Convert to fraction form
    1,596.75/2,562.38 = 2,562.38/x
  3. Step 3: Cross multiply
    1,596.75x = 2,562.38 × 2,562.38
  4. Step 4: Simplify right side
    1,596.75x = 6,565,765.64
  5. Step 5: Solve for x
    x = 6,565,765.64/1,596.75
  6. Step 6: Final answer
    x = 4,111.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.