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Finding the Third Proportional to 23,982 and 52,146

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Solution

The third proportional to 23,982 and 52,146 is: 113,385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,982 : 52,146 = 52,146 : x
  2. Step 2: Convert to fraction form
    23,982/52,146 = 52,146/x
  3. Step 3: Cross multiply
    23,982x = 52,146 × 52,146
  4. Step 4: Simplify right side
    23,982x = 2,719,205,316
  5. Step 5: Solve for x
    x = 2,719,205,316/23,982
  6. Step 6: Final answer
    x = 113,385.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.