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Finding the Third Proportional to 2,202.19 and 4,722.05

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Solution

The third proportional to 2,202.19 and 4,722.05 is: 10,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.19 : 4,722.05 = 4,722.05 : x
  2. Step 2: Convert to fraction form
    2,202.19/4,722.05 = 4,722.05/x
  3. Step 3: Cross multiply
    2,202.19x = 4,722.05 × 4,722.05
  4. Step 4: Simplify right side
    2,202.19x = 22,297,726.69
  5. Step 5: Solve for x
    x = 22,297,726.69/2,202.19
  6. Step 6: Final answer
    x = 10,125.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.