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Finding the Third Proportional to 40,692 and 61,146

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Solution

The third proportional to 40,692 and 61,146 is: 91,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,692 : 61,146 = 61,146 : x
  2. Step 2: Convert to fraction form
    40,692/61,146 = 61,146/x
  3. Step 3: Cross multiply
    40,692x = 61,146 × 61,146
  4. Step 4: Simplify right side
    40,692x = 3,738,833,316
  5. Step 5: Solve for x
    x = 3,738,833,316/40,692
  6. Step 6: Final answer
    x = 91,881.29

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