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Finding the Third Proportional to 9,521.93 and 22,040.23

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Solution

The third proportional to 9,521.93 and 22,040.23 is: 51,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521.93 : 22,040.23 = 22,040.23 : x
  2. Step 2: Convert to fraction form
    9,521.93/22,040.23 = 22,040.23/x
  3. Step 3: Cross multiply
    9,521.93x = 22,040.23 × 22,040.23
  4. Step 4: Simplify right side
    9,521.93x = 485,771,586.93
  5. Step 5: Solve for x
    x = 485,771,586.93/9,521.93
  6. Step 6: Final answer
    x = 51,016.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.