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Finding the Third Proportional to 26,623 and 58,647

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Solution

The third proportional to 26,623 and 58,647 is: 129,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,623 : 58,647 = 58,647 : x
  2. Step 2: Convert to fraction form
    26,623/58,647 = 58,647/x
  3. Step 3: Cross multiply
    26,623x = 58,647 × 58,647
  4. Step 4: Simplify right side
    26,623x = 3,439,470,609
  5. Step 5: Solve for x
    x = 3,439,470,609/26,623
  6. Step 6: Final answer
    x = 129,191.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.