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Finding the Third Proportional to 33,980 and 45,892

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Solution

The third proportional to 33,980 and 45,892 is: 61,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,980 : 45,892 = 45,892 : x
  2. Step 2: Convert to fraction form
    33,980/45,892 = 45,892/x
  3. Step 3: Cross multiply
    33,980x = 45,892 × 45,892
  4. Step 4: Simplify right side
    33,980x = 2,106,075,664
  5. Step 5: Solve for x
    x = 2,106,075,664/33,980
  6. Step 6: Final answer
    x = 61,979.86

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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.