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Finding the Third Proportional to 2,288.19 and 5,021.88

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Solution

The third proportional to 2,288.19 and 5,021.88 is: 11,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.19 : 5,021.88 = 5,021.88 : x
  2. Step 2: Convert to fraction form
    2,288.19/5,021.88 = 5,021.88/x
  3. Step 3: Cross multiply
    2,288.19x = 5,021.88 × 5,021.88
  4. Step 4: Simplify right side
    2,288.19x = 25,219,228.52
  5. Step 5: Solve for x
    x = 25,219,228.52/2,288.19
  6. Step 6: Final answer
    x = 11,021.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.