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Finding the Third Proportional to 21,980 and 34,945

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Solution

The third proportional to 21,980 and 34,945 is: 55,557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980 : 34,945 = 34,945 : x
  2. Step 2: Convert to fraction form
    21,980/34,945 = 34,945/x
  3. Step 3: Cross multiply
    21,980x = 34,945 × 34,945
  4. Step 4: Simplify right side
    21,980x = 1,221,153,025
  5. Step 5: Solve for x
    x = 1,221,153,025/21,980
  6. Step 6: Final answer
    x = 55,557.46

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.