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Finding the Third Proportional to 38,146.50 and 59,016

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Solution

The third proportional to 38,146.50 and 59,016 is: 91,302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,146.50 : 59,016 = 59,016 : x
  2. Step 2: Convert to fraction form
    38,146.50/59,016 = 59,016/x
  3. Step 3: Cross multiply
    38,146.50x = 59,016 × 59,016
  4. Step 4: Simplify right side
    38,146.50x = 3,482,888,256
  5. Step 5: Solve for x
    x = 3,482,888,256/38,146.50
  6. Step 6: Final answer
    x = 91,302.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.