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Finding the Third Proportional to 25,866 and 56,817

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Solution

The third proportional to 25,866 and 56,817 is: 124,803.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,866 : 56,817 = 56,817 : x
  2. Step 2: Convert to fraction form
    25,866/56,817 = 56,817/x
  3. Step 3: Cross multiply
    25,866x = 56,817 × 56,817
  4. Step 4: Simplify right side
    25,866x = 3,228,171,489
  5. Step 5: Solve for x
    x = 3,228,171,489/25,866
  6. Step 6: Final answer
    x = 124,803.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.