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Finding the Third Proportional to 45,738 and 68,733

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Solution

The third proportional to 45,738 and 68,733 is: 103,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,738 : 68,733 = 68,733 : x
  2. Step 2: Convert to fraction form
    45,738/68,733 = 68,733/x
  3. Step 3: Cross multiply
    45,738x = 68,733 × 68,733
  4. Step 4: Simplify right side
    45,738x = 4,724,225,289
  5. Step 5: Solve for x
    x = 4,724,225,289/45,738
  6. Step 6: Final answer
    x = 103,288.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.