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Finding the Third Proportional to 22,935.74 and 32,298.83

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Solution

The third proportional to 22,935.74 and 32,298.83 is: 45,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,935.74 : 32,298.83 = 32,298.83 : x
  2. Step 2: Convert to fraction form
    22,935.74/32,298.83 = 32,298.83/x
  3. Step 3: Cross multiply
    22,935.74x = 32,298.83 × 32,298.83
  4. Step 4: Simplify right side
    22,935.74x = 1,043,214,361.33
  5. Step 5: Solve for x
    x = 1,043,214,361.33/22,935.74
  6. Step 6: Final answer
    x = 45,484.23

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.