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Finding the Third Proportional to 10,760.34 and 23,172.33

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Solution

The third proportional to 10,760.34 and 23,172.33 is: 49,901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.34 : 23,172.33 = 23,172.33 : x
  2. Step 2: Convert to fraction form
    10,760.34/23,172.33 = 23,172.33/x
  3. Step 3: Cross multiply
    10,760.34x = 23,172.33 × 23,172.33
  4. Step 4: Simplify right side
    10,760.34x = 536,956,790.73
  5. Step 5: Solve for x
    x = 536,956,790.73/10,760.34
  6. Step 6: Final answer
    x = 49,901.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.