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Finding the Third Proportional to 4,266.75 and 9,789.38

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Solution

The third proportional to 4,266.75 and 9,789.38 is: 22,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.75 : 9,789.38 = 9,789.38 : x
  2. Step 2: Convert to fraction form
    4,266.75/9,789.38 = 9,789.38/x
  3. Step 3: Cross multiply
    4,266.75x = 9,789.38 × 9,789.38
  4. Step 4: Simplify right side
    4,266.75x = 95,831,862.89
  5. Step 5: Solve for x
    x = 95,831,862.89/4,266.75
  6. Step 6: Final answer
    x = 22,460.15

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.