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Finding the Third Proportional to 42,048.50 and 66,866

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Solution

The third proportional to 42,048.50 and 66,866 is: 106,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,048.50 : 66,866 = 66,866 : x
  2. Step 2: Convert to fraction form
    42,048.50/66,866 = 66,866/x
  3. Step 3: Cross multiply
    42,048.50x = 66,866 × 66,866
  4. Step 4: Simplify right side
    42,048.50x = 4,471,061,956
  5. Step 5: Solve for x
    x = 4,471,061,956/42,048.50
  6. Step 6: Final answer
    x = 106,331.07

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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.