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Finding the Third Proportional to 26,295 and 56,829

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Solution

The third proportional to 26,295 and 56,829 is: 122,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,295 : 56,829 = 56,829 : x
  2. Step 2: Convert to fraction form
    26,295/56,829 = 56,829/x
  3. Step 3: Cross multiply
    26,295x = 56,829 × 56,829
  4. Step 4: Simplify right side
    26,295x = 3,229,535,241
  5. Step 5: Solve for x
    x = 3,229,535,241/26,295
  6. Step 6: Final answer
    x = 122,819.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.