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Finding the Third Proportional to 21,473.81 and 32,446.13

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Solution

The third proportional to 21,473.81 and 32,446.13 is: 49,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,473.81 : 32,446.13 = 32,446.13 : x
  2. Step 2: Convert to fraction form
    21,473.81/32,446.13 = 32,446.13/x
  3. Step 3: Cross multiply
    21,473.81x = 32,446.13 × 32,446.13
  4. Step 4: Simplify right side
    21,473.81x = 1,052,751,027.52
  5. Step 5: Solve for x
    x = 1,052,751,027.52/21,473.81
  6. Step 6: Final answer
    x = 49,024.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.