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Finding the Third Proportional to 26,806 and 47,564

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Solution

The third proportional to 26,806 and 47,564 is: 84,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,806 : 47,564 = 47,564 : x
  2. Step 2: Convert to fraction form
    26,806/47,564 = 47,564/x
  3. Step 3: Cross multiply
    26,806x = 47,564 × 47,564
  4. Step 4: Simplify right side
    26,806x = 2,262,334,096
  5. Step 5: Solve for x
    x = 2,262,334,096/26,806
  6. Step 6: Final answer
    x = 84,396.56

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.