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Finding the Third Proportional to 21,232.13 and 32,019.05

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Solution

The third proportional to 21,232.13 and 32,019.05 is: 48,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.13 : 32,019.05 = 32,019.05 : x
  2. Step 2: Convert to fraction form
    21,232.13/32,019.05 = 32,019.05/x
  3. Step 3: Cross multiply
    21,232.13x = 32,019.05 × 32,019.05
  4. Step 4: Simplify right side
    21,232.13x = 1,025,219,362.78
  5. Step 5: Solve for x
    x = 1,025,219,362.78/21,232.13
  6. Step 6: Final answer
    x = 48,286.23

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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.