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Finding the Third Proportional to 27,916 and 58,940

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Solution

The third proportional to 27,916 and 58,940 is: 124,442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,916 : 58,940 = 58,940 : x
  2. Step 2: Convert to fraction form
    27,916/58,940 = 58,940/x
  3. Step 3: Cross multiply
    27,916x = 58,940 × 58,940
  4. Step 4: Simplify right side
    27,916x = 3,473,923,600
  5. Step 5: Solve for x
    x = 3,473,923,600/27,916
  6. Step 6: Final answer
    x = 124,442.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.