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Finding the Third Proportional to 9,817.93 and 21,192.57

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Solution

The third proportional to 9,817.93 and 21,192.57 is: 45,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.93 : 21,192.57 = 21,192.57 : x
  2. Step 2: Convert to fraction form
    9,817.93/21,192.57 = 21,192.57/x
  3. Step 3: Cross multiply
    9,817.93x = 21,192.57 × 21,192.57
  4. Step 4: Simplify right side
    9,817.93x = 449,125,202.02
  5. Step 5: Solve for x
    x = 449,125,202.02/9,817.93
  6. Step 6: Final answer
    x = 45,745.42

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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.