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Finding the Third Proportional to 26,033 and 56,818

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Solution

The third proportional to 26,033 and 56,818 is: 124,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,033 : 56,818 = 56,818 : x
  2. Step 2: Convert to fraction form
    26,033/56,818 = 56,818/x
  3. Step 3: Cross multiply
    26,033x = 56,818 × 56,818
  4. Step 4: Simplify right side
    26,033x = 3,228,285,124
  5. Step 5: Solve for x
    x = 3,228,285,124/26,033
  6. Step 6: Final answer
    x = 124,007.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.