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Finding the Third Proportional to 38,508.75 and 59,165.44

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Solution

The third proportional to 38,508.75 and 59,165.44 is: 90,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508.75 : 59,165.44 = 59,165.44 : x
  2. Step 2: Convert to fraction form
    38,508.75/59,165.44 = 59,165.44/x
  3. Step 3: Cross multiply
    38,508.75x = 59,165.44 × 59,165.44
  4. Step 4: Simplify right side
    38,508.75x = 3,500,548,994.57
  5. Step 5: Solve for x
    x = 3,500,548,994.57/38,508.75
  6. Step 6: Final answer
    x = 90,902.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.