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Finding the Third Proportional to 21,309.50 and 44,866

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Solution

The third proportional to 21,309.50 and 44,866 is: 94,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.50 : 44,866 = 44,866 : x
  2. Step 2: Convert to fraction form
    21,309.50/44,866 = 44,866/x
  3. Step 3: Cross multiply
    21,309.50x = 44,866 × 44,866
  4. Step 4: Simplify right side
    21,309.50x = 2,012,957,956
  5. Step 5: Solve for x
    x = 2,012,957,956/21,309.50
  6. Step 6: Final answer
    x = 94,462.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.