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Finding the Third Proportional to 26,064 and 61,467

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Solution

The third proportional to 26,064 and 61,467 is: 144,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,064 : 61,467 = 61,467 : x
  2. Step 2: Convert to fraction form
    26,064/61,467 = 61,467/x
  3. Step 3: Cross multiply
    26,064x = 61,467 × 61,467
  4. Step 4: Simplify right side
    26,064x = 3,778,192,089
  5. Step 5: Solve for x
    x = 3,778,192,089/26,064
  6. Step 6: Final answer
    x = 144,958.26

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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.