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Finding the Third Proportional to 5,823 and 9,603

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Solution

The third proportional to 5,823 and 9,603 is: 15,836.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823 : 9,603 = 9,603 : x
  2. Step 2: Convert to fraction form
    5,823/9,603 = 9,603/x
  3. Step 3: Cross multiply
    5,823x = 9,603 × 9,603
  4. Step 4: Simplify right side
    5,823x = 92,217,609
  5. Step 5: Solve for x
    x = 92,217,609/5,823
  6. Step 6: Final answer
    x = 15,836.79

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.