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Finding the Third Proportional to 2,202.75 and 4,586.81

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Solution

The third proportional to 2,202.75 and 4,586.81 is: 9,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.75 : 4,586.81 = 4,586.81 : x
  2. Step 2: Convert to fraction form
    2,202.75/4,586.81 = 4,586.81/x
  3. Step 3: Cross multiply
    2,202.75x = 4,586.81 × 4,586.81
  4. Step 4: Simplify right side
    2,202.75x = 21,038,848.91
  5. Step 5: Solve for x
    x = 21,038,848.91/2,202.75
  6. Step 6: Final answer
    x = 9,551.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.