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Finding the Third Proportional to 26,886 and 61,711

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Solution

The third proportional to 26,886 and 61,711 is: 141,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,886 : 61,711 = 61,711 : x
  2. Step 2: Convert to fraction form
    26,886/61,711 = 61,711/x
  3. Step 3: Cross multiply
    26,886x = 61,711 × 61,711
  4. Step 4: Simplify right side
    26,886x = 3,808,247,521
  5. Step 5: Solve for x
    x = 3,808,247,521/26,886
  6. Step 6: Final answer
    x = 141,644.26

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.