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Finding the Third Proportional to 26,156 and 39,846

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Solution

The third proportional to 26,156 and 39,846 is: 60,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,156 : 39,846 = 39,846 : x
  2. Step 2: Convert to fraction form
    26,156/39,846 = 39,846/x
  3. Step 3: Cross multiply
    26,156x = 39,846 × 39,846
  4. Step 4: Simplify right side
    26,156x = 1,587,703,716
  5. Step 5: Solve for x
    x = 1,587,703,716/26,156
  6. Step 6: Final answer
    x = 60,701.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.