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Finding the Third Proportional to 1,511.06 and 3,136.88

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Solution

The third proportional to 1,511.06 and 3,136.88 is: 6,511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.06 : 3,136.88 = 3,136.88 : x
  2. Step 2: Convert to fraction form
    1,511.06/3,136.88 = 3,136.88/x
  3. Step 3: Cross multiply
    1,511.06x = 3,136.88 × 3,136.88
  4. Step 4: Simplify right side
    1,511.06x = 9,839,984.77
  5. Step 5: Solve for x
    x = 9,839,984.77/1,511.06
  6. Step 6: Final answer
    x = 6,511.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.