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Finding the Third Proportional to 20,569 and 49,255

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Solution

The third proportional to 20,569 and 49,255 is: 117,947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,569 : 49,255 = 49,255 : x
  2. Step 2: Convert to fraction form
    20,569/49,255 = 49,255/x
  3. Step 3: Cross multiply
    20,569x = 49,255 × 49,255
  4. Step 4: Simplify right side
    20,569x = 2,426,055,025
  5. Step 5: Solve for x
    x = 2,426,055,025/20,569
  6. Step 6: Final answer
    x = 117,947.15

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.