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Finding the Third Proportional to 5,797 and 8,820

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Solution

The third proportional to 5,797 and 8,820 is: 13,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797 : 8,820 = 8,820 : x
  2. Step 2: Convert to fraction form
    5,797/8,820 = 8,820/x
  3. Step 3: Cross multiply
    5,797x = 8,820 × 8,820
  4. Step 4: Simplify right side
    5,797x = 77,792,400
  5. Step 5: Solve for x
    x = 77,792,400/5,797
  6. Step 6: Final answer
    x = 13,419.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.