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Finding the Third Proportional to 26,524 and 34,861

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Solution

The third proportional to 26,524 and 34,861 is: 45,818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,524 : 34,861 = 34,861 : x
  2. Step 2: Convert to fraction form
    26,524/34,861 = 34,861/x
  3. Step 3: Cross multiply
    26,524x = 34,861 × 34,861
  4. Step 4: Simplify right side
    26,524x = 1,215,289,321
  5. Step 5: Solve for x
    x = 1,215,289,321/26,524
  6. Step 6: Final answer
    x = 45,818.48

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.