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Finding the Third Proportional to 10,342.69 and 22,325.20

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Solution

The third proportional to 10,342.69 and 22,325.20 is: 48,190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.69 : 22,325.20 = 22,325.20 : x
  2. Step 2: Convert to fraction form
    10,342.69/22,325.20 = 22,325.20/x
  3. Step 3: Cross multiply
    10,342.69x = 22,325.20 × 22,325.20
  4. Step 4: Simplify right side
    10,342.69x = 498,414,694.57
  5. Step 5: Solve for x
    x = 498,414,694.57/10,342.69
  6. Step 6: Final answer
    x = 48,190.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.