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Finding the Third Proportional to 2,201 and 2,905.50

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Solution

The third proportional to 2,201 and 2,905.50 is: 3,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201 : 2,905.50 = 2,905.50 : x
  2. Step 2: Convert to fraction form
    2,201/2,905.50 = 2,905.50/x
  3. Step 3: Cross multiply
    2,201x = 2,905.50 × 2,905.50
  4. Step 4: Simplify right side
    2,201x = 8,441,930.25
  5. Step 5: Solve for x
    x = 8,441,930.25/2,201
  6. Step 6: Final answer
    x = 3,835.50

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.