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Finding the Third Proportional to 15,973 and 34,861

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Solution

The third proportional to 15,973 and 34,861 is: 76,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,973 : 34,861 = 34,861 : x
  2. Step 2: Convert to fraction form
    15,973/34,861 = 34,861/x
  3. Step 3: Cross multiply
    15,973x = 34,861 × 34,861
  4. Step 4: Simplify right side
    15,973x = 1,215,289,321
  5. Step 5: Solve for x
    x = 1,215,289,321/15,973
  6. Step 6: Final answer
    x = 76,083.97

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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.