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Finding the Third Proportional to 22,584 and 48,306

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Solution

The third proportional to 22,584 and 48,306 is: 103,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584 : 48,306 = 48,306 : x
  2. Step 2: Convert to fraction form
    22,584/48,306 = 48,306/x
  3. Step 3: Cross multiply
    22,584x = 48,306 × 48,306
  4. Step 4: Simplify right side
    22,584x = 2,333,469,636
  5. Step 5: Solve for x
    x = 2,333,469,636/22,584
  6. Step 6: Final answer
    x = 103,324.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.