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Finding the Third Proportional to 2,856 and 4,186.50

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Solution

The third proportional to 2,856 and 4,186.50 is: 6,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856 : 4,186.50 = 4,186.50 : x
  2. Step 2: Convert to fraction form
    2,856/4,186.50 = 4,186.50/x
  3. Step 3: Cross multiply
    2,856x = 4,186.50 × 4,186.50
  4. Step 4: Simplify right side
    2,856x = 17,526,782.25
  5. Step 5: Solve for x
    x = 17,526,782.25/2,856
  6. Step 6: Final answer
    x = 6,136.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.