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Finding the Third Proportional to 26,336 and 55,750

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Solution

The third proportional to 26,336 and 55,750 is: 118,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,336 : 55,750 = 55,750 : x
  2. Step 2: Convert to fraction form
    26,336/55,750 = 55,750/x
  3. Step 3: Cross multiply
    26,336x = 55,750 × 55,750
  4. Step 4: Simplify right side
    26,336x = 3,108,062,500
  5. Step 5: Solve for x
    x = 3,108,062,500/26,336
  6. Step 6: Final answer
    x = 118,015.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.