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Finding the Third Proportional to 23,968 and 52,706

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Solution

The third proportional to 23,968 and 52,706 is: 115,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,968 : 52,706 = 52,706 : x
  2. Step 2: Convert to fraction form
    23,968/52,706 = 52,706/x
  3. Step 3: Cross multiply
    23,968x = 52,706 × 52,706
  4. Step 4: Simplify right side
    23,968x = 2,777,922,436
  5. Step 5: Solve for x
    x = 2,777,922,436/23,968
  6. Step 6: Final answer
    x = 115,901.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.