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Finding the Third Proportional to 5,653.13 and 11,382.19

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Solution

The third proportional to 5,653.13 and 11,382.19 is: 22,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.13 : 11,382.19 = 11,382.19 : x
  2. Step 2: Convert to fraction form
    5,653.13/11,382.19 = 11,382.19/x
  3. Step 3: Cross multiply
    5,653.13x = 11,382.19 × 11,382.19
  4. Step 4: Simplify right side
    5,653.13x = 129,554,192.29
  5. Step 5: Solve for x
    x = 129,554,192.29/5,653.13
  6. Step 6: Final answer
    x = 22,917.27

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.