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Finding the Third Proportional to 21,081.75 and 32,054.38

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Solution

The third proportional to 21,081.75 and 32,054.38 is: 48,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,081.75 : 32,054.38 = 32,054.38 : x
  2. Step 2: Convert to fraction form
    21,081.75/32,054.38 = 32,054.38/x
  3. Step 3: Cross multiply
    21,081.75x = 32,054.38 × 32,054.38
  4. Step 4: Simplify right side
    21,081.75x = 1,027,482,956.64
  5. Step 5: Solve for x
    x = 1,027,482,956.64/21,081.75
  6. Step 6: Final answer
    x = 48,738.03

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.