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Finding the Third Proportional to 4,805.25 and 10,294.13

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Solution

The third proportional to 4,805.25 and 10,294.13 is: 22,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.25 : 10,294.13 = 10,294.13 : x
  2. Step 2: Convert to fraction form
    4,805.25/10,294.13 = 10,294.13/x
  3. Step 3: Cross multiply
    4,805.25x = 10,294.13 × 10,294.13
  4. Step 4: Simplify right side
    4,805.25x = 105,969,009.52
  5. Step 5: Solve for x
    x = 105,969,009.52/4,805.25
  6. Step 6: Final answer
    x = 22,052.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.