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Finding the Third Proportional to 24,706 and 51,059

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Solution

The third proportional to 24,706 and 51,059 is: 105,521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706 : 51,059 = 51,059 : x
  2. Step 2: Convert to fraction form
    24,706/51,059 = 51,059/x
  3. Step 3: Cross multiply
    24,706x = 51,059 × 51,059
  4. Step 4: Simplify right side
    24,706x = 2,607,021,481
  5. Step 5: Solve for x
    x = 2,607,021,481/24,706
  6. Step 6: Final answer
    x = 105,521.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.