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Finding the Third Proportional to 17,617.50 and 27,297

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Solution

The third proportional to 17,617.50 and 27,297 is: 42,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.50 : 27,297 = 27,297 : x
  2. Step 2: Convert to fraction form
    17,617.50/27,297 = 27,297/x
  3. Step 3: Cross multiply
    17,617.50x = 27,297 × 27,297
  4. Step 4: Simplify right side
    17,617.50x = 745,126,209
  5. Step 5: Solve for x
    x = 745,126,209/17,617.50
  6. Step 6: Final answer
    x = 42,294.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.