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Finding the Third Proportional to 1,226 and 2,177.50

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Solution

The third proportional to 1,226 and 2,177.50 is: 3,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226 : 2,177.50 = 2,177.50 : x
  2. Step 2: Convert to fraction form
    1,226/2,177.50 = 2,177.50/x
  3. Step 3: Cross multiply
    1,226x = 2,177.50 × 2,177.50
  4. Step 4: Simplify right side
    1,226x = 4,741,506.25
  5. Step 5: Solve for x
    x = 4,741,506.25/1,226
  6. Step 6: Final answer
    x = 3,867.46

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.