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Finding the Third Proportional to 38,544.75 and 84,074.63

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Solution

The third proportional to 38,544.75 and 84,074.63 is: 183,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,544.75 : 84,074.63 = 84,074.63 : x
  2. Step 2: Convert to fraction form
    38,544.75/84,074.63 = 84,074.63/x
  3. Step 3: Cross multiply
    38,544.75x = 84,074.63 × 84,074.63
  4. Step 4: Simplify right side
    38,544.75x = 7,068,542,568.89
  5. Step 5: Solve for x
    x = 7,068,542,568.89/38,544.75
  6. Step 6: Final answer
    x = 183,385.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.