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Finding the Third Proportional to 26,260 and 56,892

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Solution

The third proportional to 26,260 and 56,892 is: 123,255.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,260 : 56,892 = 56,892 : x
  2. Step 2: Convert to fraction form
    26,260/56,892 = 56,892/x
  3. Step 3: Cross multiply
    26,260x = 56,892 × 56,892
  4. Step 4: Simplify right side
    26,260x = 3,236,699,664
  5. Step 5: Solve for x
    x = 3,236,699,664/26,260
  6. Step 6: Final answer
    x = 123,255.89

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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.