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Finding the Third Proportional to 16,767 and 27,781.50

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Solution

The third proportional to 16,767 and 27,781.50 is: 46,031.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767 : 27,781.50 = 27,781.50 : x
  2. Step 2: Convert to fraction form
    16,767/27,781.50 = 27,781.50/x
  3. Step 3: Cross multiply
    16,767x = 27,781.50 × 27,781.50
  4. Step 4: Simplify right side
    16,767x = 771,811,742.25
  5. Step 5: Solve for x
    x = 771,811,742.25/16,767
  6. Step 6: Final answer
    x = 46,031.59

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.