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Finding the Third Proportional to 4,743.25 and 10,409.13

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Solution

The third proportional to 4,743.25 and 10,409.13 is: 22,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.25 : 10,409.13 = 10,409.13 : x
  2. Step 2: Convert to fraction form
    4,743.25/10,409.13 = 10,409.13/x
  3. Step 3: Cross multiply
    4,743.25x = 10,409.13 × 10,409.13
  4. Step 4: Simplify right side
    4,743.25x = 108,350,045.91
  5. Step 5: Solve for x
    x = 108,350,045.91/4,743.25
  6. Step 6: Final answer
    x = 22,843.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.