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Finding the Third Proportional to 17,750 and 27,354

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Solution

The third proportional to 17,750 and 27,354 is: 42,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,750 : 27,354 = 27,354 : x
  2. Step 2: Convert to fraction form
    17,750/27,354 = 27,354/x
  3. Step 3: Cross multiply
    17,750x = 27,354 × 27,354
  4. Step 4: Simplify right side
    17,750x = 748,241,316
  5. Step 5: Solve for x
    x = 748,241,316/17,750
  6. Step 6: Final answer
    x = 42,154.44

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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.