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Finding the Third Proportional to 26,362 and 56,756

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Solution

The third proportional to 26,362 and 56,756 is: 122,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,362 : 56,756 = 56,756 : x
  2. Step 2: Convert to fraction form
    26,362/56,756 = 56,756/x
  3. Step 3: Cross multiply
    26,362x = 56,756 × 56,756
  4. Step 4: Simplify right side
    26,362x = 3,221,243,536
  5. Step 5: Solve for x
    x = 3,221,243,536/26,362
  6. Step 6: Final answer
    x = 122,192.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.