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Finding the Third Proportional to 5,853.94 and 13,029.19

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Solution

The third proportional to 5,853.94 and 13,029.19 is: 28,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.94 : 13,029.19 = 13,029.19 : x
  2. Step 2: Convert to fraction form
    5,853.94/13,029.19 = 13,029.19/x
  3. Step 3: Cross multiply
    5,853.94x = 13,029.19 × 13,029.19
  4. Step 4: Simplify right side
    5,853.94x = 169,759,726.91
  5. Step 5: Solve for x
    x = 169,759,726.91/5,853.94
  6. Step 6: Final answer
    x = 28,999.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.