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Finding the Third Proportional to 5,853.94 and 12,939.75

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Solution

The third proportional to 5,853.94 and 12,939.75 is: 28,602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.94 : 12,939.75 = 12,939.75 : x
  2. Step 2: Convert to fraction form
    5,853.94/12,939.75 = 12,939.75/x
  3. Step 3: Cross multiply
    5,853.94x = 12,939.75 × 12,939.75
  4. Step 4: Simplify right side
    5,853.94x = 167,437,130.06
  5. Step 5: Solve for x
    x = 167,437,130.06/5,853.94
  6. Step 6: Final answer
    x = 28,602.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.