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Finding the Third Proportional to 45,845 and 61,855

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Solution

The third proportional to 45,845 and 61,855 is: 83,456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,845 : 61,855 = 61,855 : x
  2. Step 2: Convert to fraction form
    45,845/61,855 = 61,855/x
  3. Step 3: Cross multiply
    45,845x = 61,855 × 61,855
  4. Step 4: Simplify right side
    45,845x = 3,826,041,025
  5. Step 5: Solve for x
    x = 3,826,041,025/45,845
  6. Step 6: Final answer
    x = 83,456.02

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.