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Finding the Third Proportional to 5,824 and 8,760

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Solution

The third proportional to 5,824 and 8,760 is: 13,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824 : 8,760 = 8,760 : x
  2. Step 2: Convert to fraction form
    5,824/8,760 = 8,760/x
  3. Step 3: Cross multiply
    5,824x = 8,760 × 8,760
  4. Step 4: Simplify right side
    5,824x = 76,737,600
  5. Step 5: Solve for x
    x = 76,737,600/5,824
  6. Step 6: Final answer
    x = 13,176.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.