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Finding the Third Proportional to 23,649 and 49,487

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Solution

The third proportional to 23,649 and 49,487 is: 103,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649 : 49,487 = 49,487 : x
  2. Step 2: Convert to fraction form
    23,649/49,487 = 49,487/x
  3. Step 3: Cross multiply
    23,649x = 49,487 × 49,487
  4. Step 4: Simplify right side
    23,649x = 2,448,963,169
  5. Step 5: Solve for x
    x = 2,448,963,169/23,649
  6. Step 6: Final answer
    x = 103,554.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.