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Finding the Third Proportional to 1,648 and 3,136

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Solution

The third proportional to 1,648 and 3,136 is: 5,967.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648 : 3,136 = 3,136 : x
  2. Step 2: Convert to fraction form
    1,648/3,136 = 3,136/x
  3. Step 3: Cross multiply
    1,648x = 3,136 × 3,136
  4. Step 4: Simplify right side
    1,648x = 9,834,496
  5. Step 5: Solve for x
    x = 9,834,496/1,648
  6. Step 6: Final answer
    x = 5,967.53

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.