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Finding the Third Proportional to 22,606 and 49,261

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Solution

The third proportional to 22,606 and 49,261 is: 107,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606 : 49,261 = 49,261 : x
  2. Step 2: Convert to fraction form
    22,606/49,261 = 49,261/x
  3. Step 3: Cross multiply
    22,606x = 49,261 × 49,261
  4. Step 4: Simplify right side
    22,606x = 2,426,646,121
  5. Step 5: Solve for x
    x = 2,426,646,121/22,606
  6. Step 6: Final answer
    x = 107,345.22

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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.