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Finding the Third Proportional to 22,399.66 and 32,548.71

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Solution

The third proportional to 22,399.66 and 32,548.71 is: 47,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,399.66 : 32,548.71 = 32,548.71 : x
  2. Step 2: Convert to fraction form
    22,399.66/32,548.71 = 32,548.71/x
  3. Step 3: Cross multiply
    22,399.66x = 32,548.71 × 32,548.71
  4. Step 4: Simplify right side
    22,399.66x = 1,059,418,583.69
  5. Step 5: Solve for x
    x = 1,059,418,583.69/22,399.66
  6. Step 6: Final answer
    x = 47,296.18

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.