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Finding the Third Proportional to 25,762 and 54,339

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Solution

The third proportional to 25,762 and 54,339 is: 114,615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762 : 54,339 = 54,339 : x
  2. Step 2: Convert to fraction form
    25,762/54,339 = 54,339/x
  3. Step 3: Cross multiply
    25,762x = 54,339 × 54,339
  4. Step 4: Simplify right side
    25,762x = 2,952,726,921
  5. Step 5: Solve for x
    x = 2,952,726,921/25,762
  6. Step 6: Final answer
    x = 114,615.59

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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.