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Finding the Third Proportional to 16,767.75 and 27,616.50

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Solution

The third proportional to 16,767.75 and 27,616.50 is: 45,484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767.75 : 27,616.50 = 27,616.50 : x
  2. Step 2: Convert to fraction form
    16,767.75/27,616.50 = 27,616.50/x
  3. Step 3: Cross multiply
    16,767.75x = 27,616.50 × 27,616.50
  4. Step 4: Simplify right side
    16,767.75x = 762,671,072.25
  5. Step 5: Solve for x
    x = 762,671,072.25/16,767.75
  6. Step 6: Final answer
    x = 45,484.40

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.