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Finding the Third Proportional to 26,685 and 61,771

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Solution

The third proportional to 26,685 and 61,771 is: 142,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,685 : 61,771 = 61,771 : x
  2. Step 2: Convert to fraction form
    26,685/61,771 = 61,771/x
  3. Step 3: Cross multiply
    26,685x = 61,771 × 61,771
  4. Step 4: Simplify right side
    26,685x = 3,815,656,441
  5. Step 5: Solve for x
    x = 3,815,656,441/26,685
  6. Step 6: Final answer
    x = 142,988.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.