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Finding the Third Proportional to 26,476 and 52,280

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Solution

The third proportional to 26,476 and 52,280 is: 103,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,476 : 52,280 = 52,280 : x
  2. Step 2: Convert to fraction form
    26,476/52,280 = 52,280/x
  3. Step 3: Cross multiply
    26,476x = 52,280 × 52,280
  4. Step 4: Simplify right side
    26,476x = 2,733,198,400
  5. Step 5: Solve for x
    x = 2,733,198,400/26,476
  6. Step 6: Final answer
    x = 103,233.06

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.