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Finding the Third Proportional to 17,765.50 and 27,377

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Solution

The third proportional to 17,765.50 and 27,377 is: 42,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.50 : 27,377 = 27,377 : x
  2. Step 2: Convert to fraction form
    17,765.50/27,377 = 27,377/x
  3. Step 3: Cross multiply
    17,765.50x = 27,377 × 27,377
  4. Step 4: Simplify right side
    17,765.50x = 749,500,129
  5. Step 5: Solve for x
    x = 749,500,129/17,765.50
  6. Step 6: Final answer
    x = 42,188.52

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Why These Related Problems?

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