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Finding the Third Proportional to 9,266 and 20,604.25

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Solution

The third proportional to 9,266 and 20,604.25 is: 45,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266 : 20,604.25 = 20,604.25 : x
  2. Step 2: Convert to fraction form
    9,266/20,604.25 = 20,604.25/x
  3. Step 3: Cross multiply
    9,266x = 20,604.25 × 20,604.25
  4. Step 4: Simplify right side
    9,266x = 424,535,118.06
  5. Step 5: Solve for x
    x = 424,535,118.06/9,266
  6. Step 6: Final answer
    x = 45,816.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.