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Finding the Third Proportional to 25,688 and 38,422

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Solution

The third proportional to 25,688 and 38,422 is: 57,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,688 : 38,422 = 38,422 : x
  2. Step 2: Convert to fraction form
    25,688/38,422 = 38,422/x
  3. Step 3: Cross multiply
    25,688x = 38,422 × 38,422
  4. Step 4: Simplify right side
    25,688x = 1,476,250,084
  5. Step 5: Solve for x
    x = 1,476,250,084/25,688
  6. Step 6: Final answer
    x = 57,468.47

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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.