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Finding the Third Proportional to 26,806 and 39,433

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Solution

The third proportional to 26,806 and 39,433 is: 58,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,806 : 39,433 = 39,433 : x
  2. Step 2: Convert to fraction form
    26,806/39,433 = 39,433/x
  3. Step 3: Cross multiply
    26,806x = 39,433 × 39,433
  4. Step 4: Simplify right side
    26,806x = 1,554,961,489
  5. Step 5: Solve for x
    x = 1,554,961,489/26,806
  6. Step 6: Final answer
    x = 58,007.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.