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Finding the Third Proportional to 27,564 and 41,274

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Solution

The third proportional to 27,564 and 41,274 is: 61,803.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564 : 41,274 = 41,274 : x
  2. Step 2: Convert to fraction form
    27,564/41,274 = 41,274/x
  3. Step 3: Cross multiply
    27,564x = 41,274 × 41,274
  4. Step 4: Simplify right side
    27,564x = 1,703,543,076
  5. Step 5: Solve for x
    x = 1,703,543,076/27,564
  6. Step 6: Final answer
    x = 61,803.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.