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Finding the Third Proportional to 1,441.88 and 3,136.88

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Solution

The third proportional to 1,441.88 and 3,136.88 is: 6,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.88 : 3,136.88 = 3,136.88 : x
  2. Step 2: Convert to fraction form
    1,441.88/3,136.88 = 3,136.88/x
  3. Step 3: Cross multiply
    1,441.88x = 3,136.88 × 3,136.88
  4. Step 4: Simplify right side
    1,441.88x = 9,839,984.77
  5. Step 5: Solve for x
    x = 9,839,984.77/1,441.88
  6. Step 6: Final answer
    x = 6,824.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.