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Finding the Third Proportional to 26,596 and 56,648

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Solution

The third proportional to 26,596 and 56,648 is: 120,657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,596 : 56,648 = 56,648 : x
  2. Step 2: Convert to fraction form
    26,596/56,648 = 56,648/x
  3. Step 3: Cross multiply
    26,596x = 56,648 × 56,648
  4. Step 4: Simplify right side
    26,596x = 3,208,995,904
  5. Step 5: Solve for x
    x = 3,208,995,904/26,596
  6. Step 6: Final answer
    x = 120,657.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.