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Finding the Third Proportional to 5,850 and 10,855.13

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Solution

The third proportional to 5,850 and 10,855.13 is: 20,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850 : 10,855.13 = 10,855.13 : x
  2. Step 2: Convert to fraction form
    5,850/10,855.13 = 10,855.13/x
  3. Step 3: Cross multiply
    5,850x = 10,855.13 × 10,855.13
  4. Step 4: Simplify right side
    5,850x = 117,833,738.77
  5. Step 5: Solve for x
    x = 117,833,738.77/5,850
  6. Step 6: Final answer
    x = 20,142.52

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.