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Finding the Third Proportional to 24,706 and 51,460

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Solution

The third proportional to 24,706 and 51,460 is: 107,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706 : 51,460 = 51,460 : x
  2. Step 2: Convert to fraction form
    24,706/51,460 = 51,460/x
  3. Step 3: Cross multiply
    24,706x = 51,460 × 51,460
  4. Step 4: Simplify right side
    24,706x = 2,648,131,600
  5. Step 5: Solve for x
    x = 2,648,131,600/24,706
  6. Step 6: Final answer
    x = 107,185.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.