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Finding the Third Proportional to 15,858 and 34,422

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Solution

The third proportional to 15,858 and 34,422 is: 74,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858 : 34,422 = 34,422 : x
  2. Step 2: Convert to fraction form
    15,858/34,422 = 34,422/x
  3. Step 3: Cross multiply
    15,858x = 34,422 × 34,422
  4. Step 4: Simplify right side
    15,858x = 1,184,874,084
  5. Step 5: Solve for x
    x = 1,184,874,084/15,858
  6. Step 6: Final answer
    x = 74,717.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.