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Finding the Third Proportional to 26,172 and 56,805

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Solution

The third proportional to 26,172 and 56,805 is: 123,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,172 : 56,805 = 56,805 : x
  2. Step 2: Convert to fraction form
    26,172/56,805 = 56,805/x
  3. Step 3: Cross multiply
    26,172x = 56,805 × 56,805
  4. Step 4: Simplify right side
    26,172x = 3,226,808,025
  5. Step 5: Solve for x
    x = 3,226,808,025/26,172
  6. Step 6: Final answer
    x = 123,292.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.