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Finding the Third Proportional to 21,639.34 and 32,372.51

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Solution

The third proportional to 21,639.34 and 32,372.51 is: 48,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,639.34 : 32,372.51 = 32,372.51 : x
  2. Step 2: Convert to fraction form
    21,639.34/32,372.51 = 32,372.51/x
  3. Step 3: Cross multiply
    21,639.34x = 32,372.51 × 32,372.51
  4. Step 4: Simplify right side
    21,639.34x = 1,047,979,546.59
  5. Step 5: Solve for x
    x = 1,047,979,546.59/21,639.34
  6. Step 6: Final answer
    x = 48,429.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.