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Finding the Third Proportional to 27,940 and 61,213

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Solution

The third proportional to 27,940 and 61,213 is: 134,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,940 : 61,213 = 61,213 : x
  2. Step 2: Convert to fraction form
    27,940/61,213 = 61,213/x
  3. Step 3: Cross multiply
    27,940x = 61,213 × 61,213
  4. Step 4: Simplify right side
    27,940x = 3,747,031,369
  5. Step 5: Solve for x
    x = 3,747,031,369/27,940
  6. Step 6: Final answer
    x = 134,109.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.