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Finding the Third Proportional to 21,639.94 and 32,602.31

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Solution

The third proportional to 21,639.94 and 32,602.31 is: 49,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,639.94 : 32,602.31 = 32,602.31 : x
  2. Step 2: Convert to fraction form
    21,639.94/32,602.31 = 32,602.31/x
  3. Step 3: Cross multiply
    21,639.94x = 32,602.31 × 32,602.31
  4. Step 4: Simplify right side
    21,639.94x = 1,062,910,780.35
  5. Step 5: Solve for x
    x = 1,062,910,780.35/21,639.94
  6. Step 6: Final answer
    x = 49,118.02

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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.