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Finding the Third Proportional to 16,643.04 and 23,409.49

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Solution

The third proportional to 16,643.04 and 23,409.49 is: 32,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.04 : 23,409.49 = 23,409.49 : x
  2. Step 2: Convert to fraction form
    16,643.04/23,409.49 = 23,409.49/x
  3. Step 3: Cross multiply
    16,643.04x = 23,409.49 × 23,409.49
  4. Step 4: Simplify right side
    16,643.04x = 548,004,324.48
  5. Step 5: Solve for x
    x = 548,004,324.48/16,643.04
  6. Step 6: Final answer
    x = 32,926.94

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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.