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Finding the Third Proportional to 25,371 and 55,926

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Solution

The third proportional to 25,371 and 55,926 is: 123,279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,371 : 55,926 = 55,926 : x
  2. Step 2: Convert to fraction form
    25,371/55,926 = 55,926/x
  3. Step 3: Cross multiply
    25,371x = 55,926 × 55,926
  4. Step 4: Simplify right side
    25,371x = 3,127,717,476
  5. Step 5: Solve for x
    x = 3,127,717,476/25,371
  6. Step 6: Final answer
    x = 123,279.24

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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.