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Finding the Third Proportional to 15,919 and 34,283

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Solution

The third proportional to 15,919 and 34,283 is: 73,831.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,919 : 34,283 = 34,283 : x
  2. Step 2: Convert to fraction form
    15,919/34,283 = 34,283/x
  3. Step 3: Cross multiply
    15,919x = 34,283 × 34,283
  4. Step 4: Simplify right side
    15,919x = 1,175,324,089
  5. Step 5: Solve for x
    x = 1,175,324,089/15,919
  6. Step 6: Final answer
    x = 73,831.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.