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Finding the Third Proportional to 15,707 and 34,189

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Solution

The third proportional to 15,707 and 34,189 is: 74,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707 : 34,189 = 34,189 : x
  2. Step 2: Convert to fraction form
    15,707/34,189 = 34,189/x
  3. Step 3: Cross multiply
    15,707x = 34,189 × 34,189
  4. Step 4: Simplify right side
    15,707x = 1,168,887,721
  5. Step 5: Solve for x
    x = 1,168,887,721/15,707
  6. Step 6: Final answer
    x = 74,418.27

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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.