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Finding the Third Proportional to 26,216 and 56,806

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Solution

The third proportional to 26,216 and 56,806 is: 123,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,216 : 56,806 = 56,806 : x
  2. Step 2: Convert to fraction form
    26,216/56,806 = 56,806/x
  3. Step 3: Cross multiply
    26,216x = 56,806 × 56,806
  4. Step 4: Simplify right side
    26,216x = 3,226,921,636
  5. Step 5: Solve for x
    x = 3,226,921,636/26,216
  6. Step 6: Final answer
    x = 123,089.78

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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.