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Finding the Third Proportional to 23,240 and 49,616

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Solution

The third proportional to 23,240 and 49,616 is: 105,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,240 : 49,616 = 49,616 : x
  2. Step 2: Convert to fraction form
    23,240/49,616 = 49,616/x
  3. Step 3: Cross multiply
    23,240x = 49,616 × 49,616
  4. Step 4: Simplify right side
    23,240x = 2,461,747,456
  5. Step 5: Solve for x
    x = 2,461,747,456/23,240
  6. Step 6: Final answer
    x = 105,927.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.