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Finding the Third Proportional to 45,815.25 and 67,085.25

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Solution

The third proportional to 45,815.25 and 67,085.25 is: 98,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,815.25 : 67,085.25 = 67,085.25 : x
  2. Step 2: Convert to fraction form
    45,815.25/67,085.25 = 67,085.25/x
  3. Step 3: Cross multiply
    45,815.25x = 67,085.25 × 67,085.25
  4. Step 4: Simplify right side
    45,815.25x = 4,500,430,767.56
  5. Step 5: Solve for x
    x = 4,500,430,767.56/45,815.25
  6. Step 6: Final answer
    x = 98,229.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.