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Finding the Third Proportional to 26,583 and 42,831

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Solution

The third proportional to 26,583 and 42,831 is: 69,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,583 : 42,831 = 42,831 : x
  2. Step 2: Convert to fraction form
    26,583/42,831 = 42,831/x
  3. Step 3: Cross multiply
    26,583x = 42,831 × 42,831
  4. Step 4: Simplify right side
    26,583x = 1,834,494,561
  5. Step 5: Solve for x
    x = 1,834,494,561/26,583
  6. Step 6: Final answer
    x = 69,010.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.