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Finding the Third Proportional to 38,549.39 and 57,824.16

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Solution

The third proportional to 38,549.39 and 57,824.16 is: 86,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,549.39 : 57,824.16 = 57,824.16 : x
  2. Step 2: Convert to fraction form
    38,549.39/57,824.16 = 57,824.16/x
  3. Step 3: Cross multiply
    38,549.39x = 57,824.16 × 57,824.16
  4. Step 4: Simplify right side
    38,549.39x = 3,343,633,046.02
  5. Step 5: Solve for x
    x = 3,343,633,046.02/38,549.39
  6. Step 6: Final answer
    x = 86,736.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.