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Finding the Third Proportional to 25,486 and 34,422

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Solution

The third proportional to 25,486 and 34,422 is: 46,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,486 : 34,422 = 34,422 : x
  2. Step 2: Convert to fraction form
    25,486/34,422 = 34,422/x
  3. Step 3: Cross multiply
    25,486x = 34,422 × 34,422
  4. Step 4: Simplify right side
    25,486x = 1,184,874,084
  5. Step 5: Solve for x
    x = 1,184,874,084/25,486
  6. Step 6: Final answer
    x = 46,491.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.