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Finding the Third Proportional to 2,163 and 2,764.50

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Solution

The third proportional to 2,163 and 2,764.50 is: 3,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163 : 2,764.50 = 2,764.50 : x
  2. Step 2: Convert to fraction form
    2,163/2,764.50 = 2,764.50/x
  3. Step 3: Cross multiply
    2,163x = 2,764.50 × 2,764.50
  4. Step 4: Simplify right side
    2,163x = 7,642,460.25
  5. Step 5: Solve for x
    x = 7,642,460.25/2,163
  6. Step 6: Final answer
    x = 3,533.27

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.