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Finding the Third Proportional to 10,296 and 22,195.13

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Solution

The third proportional to 10,296 and 22,195.13 is: 47,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296 : 22,195.13 = 22,195.13 : x
  2. Step 2: Convert to fraction form
    10,296/22,195.13 = 22,195.13/x
  3. Step 3: Cross multiply
    10,296x = 22,195.13 × 22,195.13
  4. Step 4: Simplify right side
    10,296x = 492,623,573.77
  5. Step 5: Solve for x
    x = 492,623,573.77/10,296
  6. Step 6: Final answer
    x = 47,846.11

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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.