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Finding the Third Proportional to 22,783 and 49,309

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Solution

The third proportional to 22,783 and 49,309 is: 106,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783 : 49,309 = 49,309 : x
  2. Step 2: Convert to fraction form
    22,783/49,309 = 49,309/x
  3. Step 3: Cross multiply
    22,783x = 49,309 × 49,309
  4. Step 4: Simplify right side
    22,783x = 2,431,377,481
  5. Step 5: Solve for x
    x = 2,431,377,481/22,783
  6. Step 6: Final answer
    x = 106,718.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.