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Finding the Third Proportional to 40,792 and 86,485

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Solution

The third proportional to 40,792 and 86,485 is: 183,360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,792 : 86,485 = 86,485 : x
  2. Step 2: Convert to fraction form
    40,792/86,485 = 86,485/x
  3. Step 3: Cross multiply
    40,792x = 86,485 × 86,485
  4. Step 4: Simplify right side
    40,792x = 7,479,655,225
  5. Step 5: Solve for x
    x = 7,479,655,225/40,792
  6. Step 6: Final answer
    x = 183,360.84

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.