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Finding the Third Proportional to 2,288.67 and 4,922.02

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Solution

The third proportional to 2,288.67 and 4,922.02 is: 10,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.67 : 4,922.02 = 4,922.02 : x
  2. Step 2: Convert to fraction form
    2,288.67/4,922.02 = 4,922.02/x
  3. Step 3: Cross multiply
    2,288.67x = 4,922.02 × 4,922.02
  4. Step 4: Simplify right side
    2,288.67x = 24,226,237.81
  5. Step 5: Solve for x
    x = 24,226,237.81/2,288.67
  6. Step 6: Final answer
    x = 10,585.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.