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Finding the Third Proportional to 16,233.75 and 21,934.13

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Solution

The third proportional to 16,233.75 and 21,934.13 is: 29,636.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.75 : 21,934.13 = 21,934.13 : x
  2. Step 2: Convert to fraction form
    16,233.75/21,934.13 = 21,934.13/x
  3. Step 3: Cross multiply
    16,233.75x = 21,934.13 × 21,934.13
  4. Step 4: Simplify right side
    16,233.75x = 481,105,839.52
  5. Step 5: Solve for x
    x = 481,105,839.52/16,233.75
  6. Step 6: Final answer
    x = 29,636.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.