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Finding the Third Proportional to 9,302.98 and 21,942.14

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Solution

The third proportional to 9,302.98 and 21,942.14 is: 51,753.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.98 : 21,942.14 = 21,942.14 : x
  2. Step 2: Convert to fraction form
    9,302.98/21,942.14 = 21,942.14/x
  3. Step 3: Cross multiply
    9,302.98x = 21,942.14 × 21,942.14
  4. Step 4: Simplify right side
    9,302.98x = 481,457,535.21
  5. Step 5: Solve for x
    x = 481,457,535.21/9,302.98
  6. Step 6: Final answer
    x = 51,753.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.