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Finding the Third Proportional to 22,518 and 33,789

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Solution

The third proportional to 22,518 and 33,789 is: 50,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518 : 33,789 = 33,789 : x
  2. Step 2: Convert to fraction form
    22,518/33,789 = 33,789/x
  3. Step 3: Cross multiply
    22,518x = 33,789 × 33,789
  4. Step 4: Simplify right side
    22,518x = 1,141,696,521
  5. Step 5: Solve for x
    x = 1,141,696,521/22,518
  6. Step 6: Final answer
    x = 50,701.51

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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.