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Finding the Third Proportional to 38,094.25 and 59,568.38

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Solution

The third proportional to 38,094.25 and 59,568.38 is: 93,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,094.25 : 59,568.38 = 59,568.38 : x
  2. Step 2: Convert to fraction form
    38,094.25/59,568.38 = 59,568.38/x
  3. Step 3: Cross multiply
    38,094.25x = 59,568.38 × 59,568.38
  4. Step 4: Simplify right side
    38,094.25x = 3,548,391,300.14
  5. Step 5: Solve for x
    x = 3,548,391,300.14/38,094.25
  6. Step 6: Final answer
    x = 93,147.69

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.