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Finding the Third Proportional to 22,327.50 and 38,027.25

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Solution

The third proportional to 22,327.50 and 38,027.25 is: 64,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,327.50 : 38,027.25 = 38,027.25 : x
  2. Step 2: Convert to fraction form
    22,327.50/38,027.25 = 38,027.25/x
  3. Step 3: Cross multiply
    22,327.50x = 38,027.25 × 38,027.25
  4. Step 4: Simplify right side
    22,327.50x = 1,446,071,742.56
  5. Step 5: Solve for x
    x = 1,446,071,742.56/22,327.50
  6. Step 6: Final answer
    x = 64,766.40

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.