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Finding the Third Proportional to 27,524 and 42,174

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Solution

The third proportional to 27,524 and 42,174 is: 64,621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524 : 42,174 = 42,174 : x
  2. Step 2: Convert to fraction form
    27,524/42,174 = 42,174/x
  3. Step 3: Cross multiply
    27,524x = 42,174 × 42,174
  4. Step 4: Simplify right side
    27,524x = 1,778,646,276
  5. Step 5: Solve for x
    x = 1,778,646,276/27,524
  6. Step 6: Final answer
    x = 64,621.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.