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Finding the Third Proportional to 26,825 and 40,057

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Solution

The third proportional to 26,825 and 40,057 is: 59,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,825 : 40,057 = 40,057 : x
  2. Step 2: Convert to fraction form
    26,825/40,057 = 40,057/x
  3. Step 3: Cross multiply
    26,825x = 40,057 × 40,057
  4. Step 4: Simplify right side
    26,825x = 1,604,563,249
  5. Step 5: Solve for x
    x = 1,604,563,249/26,825
  6. Step 6: Final answer
    x = 59,815.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.