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Finding the Third Proportional to 25,511 and 38,293

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Solution

The third proportional to 25,511 and 38,293 is: 57,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,511 : 38,293 = 38,293 : x
  2. Step 2: Convert to fraction form
    25,511/38,293 = 38,293/x
  3. Step 3: Cross multiply
    25,511x = 38,293 × 38,293
  4. Step 4: Simplify right side
    25,511x = 1,466,353,849
  5. Step 5: Solve for x
    x = 1,466,353,849/25,511
  6. Step 6: Final answer
    x = 57,479.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.