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Finding the Third Proportional to 26,684 and 61,769

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Solution

The third proportional to 26,684 and 61,769 is: 142,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,684 : 61,769 = 61,769 : x
  2. Step 2: Convert to fraction form
    26,684/61,769 = 61,769/x
  3. Step 3: Cross multiply
    26,684x = 61,769 × 61,769
  4. Step 4: Simplify right side
    26,684x = 3,815,409,361
  5. Step 5: Solve for x
    x = 3,815,409,361/26,684
  6. Step 6: Final answer
    x = 142,984.91

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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.