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Finding the Third Proportional to 22,599 and 49,362

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Solution

The third proportional to 22,599 and 49,362 is: 107,819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,599 : 49,362 = 49,362 : x
  2. Step 2: Convert to fraction form
    22,599/49,362 = 49,362/x
  3. Step 3: Cross multiply
    22,599x = 49,362 × 49,362
  4. Step 4: Simplify right side
    22,599x = 2,436,607,044
  5. Step 5: Solve for x
    x = 2,436,607,044/22,599
  6. Step 6: Final answer
    x = 107,819.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.