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Finding the Third Proportional to 25,376 and 55,934

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Solution

The third proportional to 25,376 and 55,934 is: 123,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,376 : 55,934 = 55,934 : x
  2. Step 2: Convert to fraction form
    25,376/55,934 = 55,934/x
  3. Step 3: Cross multiply
    25,376x = 55,934 × 55,934
  4. Step 4: Simplify right side
    25,376x = 3,128,612,356
  5. Step 5: Solve for x
    x = 3,128,612,356/25,376
  6. Step 6: Final answer
    x = 123,290.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.