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Finding the Third Proportional to 3,136 and 5,882

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Solution

The third proportional to 3,136 and 5,882 is: 11,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136 : 5,882 = 5,882 : x
  2. Step 2: Convert to fraction form
    3,136/5,882 = 5,882/x
  3. Step 3: Cross multiply
    3,136x = 5,882 × 5,882
  4. Step 4: Simplify right side
    3,136x = 34,597,924
  5. Step 5: Solve for x
    x = 34,597,924/3,136
  6. Step 6: Final answer
    x = 11,032.50

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.