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Finding the Third Proportional to 34,061 and 52,863

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Solution

The third proportional to 34,061 and 52,863 is: 82,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,061 : 52,863 = 52,863 : x
  2. Step 2: Convert to fraction form
    34,061/52,863 = 52,863/x
  3. Step 3: Cross multiply
    34,061x = 52,863 × 52,863
  4. Step 4: Simplify right side
    34,061x = 2,794,496,769
  5. Step 5: Solve for x
    x = 2,794,496,769/34,061
  6. Step 6: Final answer
    x = 82,043.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.