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Finding the Third Proportional to 28,538 and 68,753

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Solution

The third proportional to 28,538 and 68,753 is: 165,637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,538 : 68,753 = 68,753 : x
  2. Step 2: Convert to fraction form
    28,538/68,753 = 68,753/x
  3. Step 3: Cross multiply
    28,538x = 68,753 × 68,753
  4. Step 4: Simplify right side
    28,538x = 4,726,975,009
  5. Step 5: Solve for x
    x = 4,726,975,009/28,538
  6. Step 6: Final answer
    x = 165,637.92

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.