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Finding the Third Proportional to 4,089 and 9,603

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Solution

The third proportional to 4,089 and 9,603 is: 22,552.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089 : 9,603 = 9,603 : x
  2. Step 2: Convert to fraction form
    4,089/9,603 = 9,603/x
  3. Step 3: Cross multiply
    4,089x = 9,603 × 9,603
  4. Step 4: Simplify right side
    4,089x = 92,217,609
  5. Step 5: Solve for x
    x = 92,217,609/4,089
  6. Step 6: Final answer
    x = 22,552.61

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.