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Finding the Third Proportional to 9,288.84 and 20,422.97

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Solution

The third proportional to 9,288.84 and 20,422.97 is: 44,903.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.84 : 20,422.97 = 20,422.97 : x
  2. Step 2: Convert to fraction form
    9,288.84/20,422.97 = 20,422.97/x
  3. Step 3: Cross multiply
    9,288.84x = 20,422.97 × 20,422.97
  4. Step 4: Simplify right side
    9,288.84x = 417,097,652.56
  5. Step 5: Solve for x
    x = 417,097,652.56/9,288.84
  6. Step 6: Final answer
    x = 44,903.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.