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Finding the Third Proportional to 9,793.41 and 14,496.47

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Solution

The third proportional to 9,793.41 and 14,496.47 is: 21,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.41 : 14,496.47 = 14,496.47 : x
  2. Step 2: Convert to fraction form
    9,793.41/14,496.47 = 14,496.47/x
  3. Step 3: Cross multiply
    9,793.41x = 14,496.47 × 14,496.47
  4. Step 4: Simplify right side
    9,793.41x = 210,147,606.22
  5. Step 5: Solve for x
    x = 210,147,606.22/9,793.41
  6. Step 6: Final answer
    x = 21,458.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.