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Finding the Third Proportional to 1,882 and 4,007

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Solution

The third proportional to 1,882 and 4,007 is: 8,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882 : 4,007 = 4,007 : x
  2. Step 2: Convert to fraction form
    1,882/4,007 = 4,007/x
  3. Step 3: Cross multiply
    1,882x = 4,007 × 4,007
  4. Step 4: Simplify right side
    1,882x = 16,056,049
  5. Step 5: Solve for x
    x = 16,056,049/1,882
  6. Step 6: Final answer
    x = 8,531.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.