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Finding the Third Proportional to 10,190.25 and 21,160.13

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Solution

The third proportional to 10,190.25 and 21,160.13 is: 43,939.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.25 : 21,160.13 = 21,160.13 : x
  2. Step 2: Convert to fraction form
    10,190.25/21,160.13 = 21,160.13/x
  3. Step 3: Cross multiply
    10,190.25x = 21,160.13 × 21,160.13
  4. Step 4: Simplify right side
    10,190.25x = 447,750,890.02
  5. Step 5: Solve for x
    x = 447,750,890.02/10,190.25
  6. Step 6: Final answer
    x = 43,939.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.