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Finding the Third Proportional to 15,734 and 34,228

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Solution

The third proportional to 15,734 and 34,228 is: 74,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734 : 34,228 = 34,228 : x
  2. Step 2: Convert to fraction form
    15,734/34,228 = 34,228/x
  3. Step 3: Cross multiply
    15,734x = 34,228 × 34,228
  4. Step 4: Simplify right side
    15,734x = 1,171,555,984
  5. Step 5: Solve for x
    x = 1,171,555,984/15,734
  6. Step 6: Final answer
    x = 74,460.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.