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Finding the Third Proportional to 5,784 and 8,812

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Solution

The third proportional to 5,784 and 8,812 is: 13,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784 : 8,812 = 8,812 : x
  2. Step 2: Convert to fraction form
    5,784/8,812 = 8,812/x
  3. Step 3: Cross multiply
    5,784x = 8,812 × 8,812
  4. Step 4: Simplify right side
    5,784x = 77,651,344
  5. Step 5: Solve for x
    x = 77,651,344/5,784
  6. Step 6: Final answer
    x = 13,425.20

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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.