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Finding the Third Proportional to 10,063.75 and 23,679.63

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Solution

The third proportional to 10,063.75 and 23,679.63 is: 55,717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,063.75 : 23,679.63 = 23,679.63 : x
  2. Step 2: Convert to fraction form
    10,063.75/23,679.63 = 23,679.63/x
  3. Step 3: Cross multiply
    10,063.75x = 23,679.63 × 23,679.63
  4. Step 4: Simplify right side
    10,063.75x = 560,724,640.14
  5. Step 5: Solve for x
    x = 560,724,640.14/10,063.75
  6. Step 6: Final answer
    x = 55,717.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.