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Finding the Third Proportional to 17,767.50 and 27,380

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Solution

The third proportional to 17,767.50 and 27,380 is: 42,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.50 : 27,380 = 27,380 : x
  2. Step 2: Convert to fraction form
    17,767.50/27,380 = 27,380/x
  3. Step 3: Cross multiply
    17,767.50x = 27,380 × 27,380
  4. Step 4: Simplify right side
    17,767.50x = 749,664,400
  5. Step 5: Solve for x
    x = 749,664,400/17,767.50
  6. Step 6: Final answer
    x = 42,193.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.