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Finding the Third Proportional to 9,583.31 and 20,328.47

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Solution

The third proportional to 9,583.31 and 20,328.47 is: 43,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.31 : 20,328.47 = 20,328.47 : x
  2. Step 2: Convert to fraction form
    9,583.31/20,328.47 = 20,328.47/x
  3. Step 3: Cross multiply
    9,583.31x = 20,328.47 × 20,328.47
  4. Step 4: Simplify right side
    9,583.31x = 413,246,641.72
  5. Step 5: Solve for x
    x = 413,246,641.72/9,583.31
  6. Step 6: Final answer
    x = 43,121.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.