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Finding the Third Proportional to 3,648 and 8,826

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Solution

The third proportional to 3,648 and 8,826 is: 21,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648 : 8,826 = 8,826 : x
  2. Step 2: Convert to fraction form
    3,648/8,826 = 8,826/x
  3. Step 3: Cross multiply
    3,648x = 8,826 × 8,826
  4. Step 4: Simplify right side
    3,648x = 77,898,276
  5. Step 5: Solve for x
    x = 77,898,276/3,648
  6. Step 6: Final answer
    x = 21,353.69

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.