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Finding the Third Proportional to 1,802 and 4,157

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Solution

The third proportional to 1,802 and 4,157 is: 9,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802 : 4,157 = 4,157 : x
  2. Step 2: Convert to fraction form
    1,802/4,157 = 4,157/x
  3. Step 3: Cross multiply
    1,802x = 4,157 × 4,157
  4. Step 4: Simplify right side
    1,802x = 17,280,649
  5. Step 5: Solve for x
    x = 17,280,649/1,802
  6. Step 6: Final answer
    x = 9,589.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.