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Finding the Third Proportional to 22,269 and 48,916.50

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Solution

The third proportional to 22,269 and 48,916.50 is: 107,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,269 : 48,916.50 = 48,916.50 : x
  2. Step 2: Convert to fraction form
    22,269/48,916.50 = 48,916.50/x
  3. Step 3: Cross multiply
    22,269x = 48,916.50 × 48,916.50
  4. Step 4: Simplify right side
    22,269x = 2,392,823,972.25
  5. Step 5: Solve for x
    x = 2,392,823,972.25/22,269
  6. Step 6: Final answer
    x = 107,450.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.