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Finding the Third Proportional to 15,668 and 34,437

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Solution

The third proportional to 15,668 and 34,437 is: 75,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,668 : 34,437 = 34,437 : x
  2. Step 2: Convert to fraction form
    15,668/34,437 = 34,437/x
  3. Step 3: Cross multiply
    15,668x = 34,437 × 34,437
  4. Step 4: Simplify right side
    15,668x = 1,185,906,969
  5. Step 5: Solve for x
    x = 1,185,906,969/15,668
  6. Step 6: Final answer
    x = 75,689.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.