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Finding the Third Proportional to 4,426.21 and 9,227.36

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Solution

The third proportional to 4,426.21 and 9,227.36 is: 19,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,426.21 : 9,227.36 = 9,227.36 : x
  2. Step 2: Convert to fraction form
    4,426.21/9,227.36 = 9,227.36/x
  3. Step 3: Cross multiply
    4,426.21x = 9,227.36 × 9,227.36
  4. Step 4: Simplify right side
    4,426.21x = 85,144,088.95
  5. Step 5: Solve for x
    x = 85,144,088.95/4,426.21
  6. Step 6: Final answer
    x = 19,236.35

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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.