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Finding the Third Proportional to 38,317.50 and 58,853.25

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Solution

The third proportional to 38,317.50 and 58,853.25 is: 90,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,317.50 : 58,853.25 = 58,853.25 : x
  2. Step 2: Convert to fraction form
    38,317.50/58,853.25 = 58,853.25/x
  3. Step 3: Cross multiply
    38,317.50x = 58,853.25 × 58,853.25
  4. Step 4: Simplify right side
    38,317.50x = 3,463,705,035.56
  5. Step 5: Solve for x
    x = 3,463,705,035.56/38,317.50
  6. Step 6: Final answer
    x = 90,394.86

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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.