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Finding the Third Proportional to 45,991.69 and 61,806.94

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Solution

The third proportional to 45,991.69 and 61,806.94 is: 83,060.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,991.69 : 61,806.94 = 61,806.94 : x
  2. Step 2: Convert to fraction form
    45,991.69/61,806.94 = 61,806.94/x
  3. Step 3: Cross multiply
    45,991.69x = 61,806.94 × 61,806.94
  4. Step 4: Simplify right side
    45,991.69x = 3,820,097,523.13
  5. Step 5: Solve for x
    x = 3,820,097,523.13/45,991.69
  6. Step 6: Final answer
    x = 83,060.61

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.