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Finding the Third Proportional to 16,905.38 and 21,616.88

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Solution

The third proportional to 16,905.38 and 21,616.88 is: 27,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,905.38 : 21,616.88 = 21,616.88 : x
  2. Step 2: Convert to fraction form
    16,905.38/21,616.88 = 21,616.88/x
  3. Step 3: Cross multiply
    16,905.38x = 21,616.88 × 21,616.88
  4. Step 4: Simplify right side
    16,905.38x = 467,289,284.77
  5. Step 5: Solve for x
    x = 467,289,284.77/16,905.38
  6. Step 6: Final answer
    x = 27,641.46

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.