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Finding the Third Proportional to 21,828 and 34,146

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Solution

The third proportional to 21,828 and 34,146 is: 53,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,828 : 34,146 = 34,146 : x
  2. Step 2: Convert to fraction form
    21,828/34,146 = 34,146/x
  3. Step 3: Cross multiply
    21,828x = 34,146 × 34,146
  4. Step 4: Simplify right side
    21,828x = 1,165,949,316
  5. Step 5: Solve for x
    x = 1,165,949,316/21,828
  6. Step 6: Final answer
    x = 53,415.31

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.