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Finding the Third Proportional to 26,678 and 61,835

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Solution

The third proportional to 26,678 and 61,835 is: 143,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,678 : 61,835 = 61,835 : x
  2. Step 2: Convert to fraction form
    26,678/61,835 = 61,835/x
  3. Step 3: Cross multiply
    26,678x = 61,835 × 61,835
  4. Step 4: Simplify right side
    26,678x = 3,823,567,225
  5. Step 5: Solve for x
    x = 3,823,567,225/26,678
  6. Step 6: Final answer
    x = 143,322.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.