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Finding the Third Proportional to 27,553 and 41,222

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Solution

The third proportional to 27,553 and 41,222 is: 61,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,553 : 41,222 = 41,222 : x
  2. Step 2: Convert to fraction form
    27,553/41,222 = 41,222/x
  3. Step 3: Cross multiply
    27,553x = 41,222 × 41,222
  4. Step 4: Simplify right side
    27,553x = 1,699,253,284
  5. Step 5: Solve for x
    x = 1,699,253,284/27,553
  6. Step 6: Final answer
    x = 61,672.17

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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.