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Finding the Third Proportional to 38,110.75 and 56,613.50

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Solution

The third proportional to 38,110.75 and 56,613.50 is: 84,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,110.75 : 56,613.50 = 56,613.50 : x
  2. Step 2: Convert to fraction form
    38,110.75/56,613.50 = 56,613.50/x
  3. Step 3: Cross multiply
    38,110.75x = 56,613.50 × 56,613.50
  4. Step 4: Simplify right side
    38,110.75x = 3,205,088,382.25
  5. Step 5: Solve for x
    x = 3,205,088,382.25/38,110.75
  6. Step 6: Final answer
    x = 84,099.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.