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Finding the Third Proportional to 26,036 and 61,397

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Solution

The third proportional to 26,036 and 61,397 is: 144,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,036 : 61,397 = 61,397 : x
  2. Step 2: Convert to fraction form
    26,036/61,397 = 61,397/x
  3. Step 3: Cross multiply
    26,036x = 61,397 × 61,397
  4. Step 4: Simplify right side
    26,036x = 3,769,591,609
  5. Step 5: Solve for x
    x = 3,769,591,609/26,036
  6. Step 6: Final answer
    x = 144,783.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.