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Finding the Third Proportional to 28,998 and 67,753

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Solution

The third proportional to 28,998 and 67,753 is: 158,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,998 : 67,753 = 67,753 : x
  2. Step 2: Convert to fraction form
    28,998/67,753 = 67,753/x
  3. Step 3: Cross multiply
    28,998x = 67,753 × 67,753
  4. Step 4: Simplify right side
    28,998x = 4,590,469,009
  5. Step 5: Solve for x
    x = 4,590,469,009/28,998
  6. Step 6: Final answer
    x = 158,302.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.