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Finding the Third Proportional to 40,728 and 89,733

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Solution

The third proportional to 40,728 and 89,733 is: 197,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,728 : 89,733 = 89,733 : x
  2. Step 2: Convert to fraction form
    40,728/89,733 = 89,733/x
  3. Step 3: Cross multiply
    40,728x = 89,733 × 89,733
  4. Step 4: Simplify right side
    40,728x = 8,052,011,289
  5. Step 5: Solve for x
    x = 8,052,011,289/40,728
  6. Step 6: Final answer
    x = 197,702.10

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