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Finding the Third Proportional to 26,476 and 39,098

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Solution

The third proportional to 26,476 and 39,098 is: 57,737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,476 : 39,098 = 39,098 : x
  2. Step 2: Convert to fraction form
    26,476/39,098 = 39,098/x
  3. Step 3: Cross multiply
    26,476x = 39,098 × 39,098
  4. Step 4: Simplify right side
    26,476x = 1,528,653,604
  5. Step 5: Solve for x
    x = 1,528,653,604/26,476
  6. Step 6: Final answer
    x = 57,737.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.