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Finding the Third Proportional to 8,826 and 20,445

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Solution

The third proportional to 8,826 and 20,445 is: 47,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826 : 20,445 = 20,445 : x
  2. Step 2: Convert to fraction form
    8,826/20,445 = 20,445/x
  3. Step 3: Cross multiply
    8,826x = 20,445 × 20,445
  4. Step 4: Simplify right side
    8,826x = 417,998,025
  5. Step 5: Solve for x
    x = 417,998,025/8,826
  6. Step 6: Final answer
    x = 47,359.85

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.