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Finding the Third Proportional to 10,342.69 and 22,667.34

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Solution

The third proportional to 10,342.69 and 22,667.34 is: 49,678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.69 : 22,667.34 = 22,667.34 : x
  2. Step 2: Convert to fraction form
    10,342.69/22,667.34 = 22,667.34/x
  3. Step 3: Cross multiply
    10,342.69x = 22,667.34 × 22,667.34
  4. Step 4: Simplify right side
    10,342.69x = 513,808,472.68
  5. Step 5: Solve for x
    x = 513,808,472.68/10,342.69
  6. Step 6: Final answer
    x = 49,678.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.