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Finding the Third Proportional to 22,586 and 49,534

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Solution

The third proportional to 22,586 and 49,534 is: 108,634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586 : 49,534 = 49,534 : x
  2. Step 2: Convert to fraction form
    22,586/49,534 = 49,534/x
  3. Step 3: Cross multiply
    22,586x = 49,534 × 49,534
  4. Step 4: Simplify right side
    22,586x = 2,453,617,156
  5. Step 5: Solve for x
    x = 2,453,617,156/22,586
  6. Step 6: Final answer
    x = 108,634.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.