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Finding the Third Proportional to 22,494.38 and 32,403.38

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Solution

The third proportional to 22,494.38 and 32,403.38 is: 46,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.38 : 32,403.38 = 32,403.38 : x
  2. Step 2: Convert to fraction form
    22,494.38/32,403.38 = 32,403.38/x
  3. Step 3: Cross multiply
    22,494.38x = 32,403.38 × 32,403.38
  4. Step 4: Simplify right side
    22,494.38x = 1,049,978,711.39
  5. Step 5: Solve for x
    x = 1,049,978,711.39/22,494.38
  6. Step 6: Final answer
    x = 46,677.39

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.