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Finding the Third Proportional to 6,186.75 and 13,753.50

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Solution

The third proportional to 6,186.75 and 13,753.50 is: 30,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.75 : 13,753.50 = 13,753.50 : x
  2. Step 2: Convert to fraction form
    6,186.75/13,753.50 = 13,753.50/x
  3. Step 3: Cross multiply
    6,186.75x = 13,753.50 × 13,753.50
  4. Step 4: Simplify right side
    6,186.75x = 189,158,762.25
  5. Step 5: Solve for x
    x = 189,158,762.25/6,186.75
  6. Step 6: Final answer
    x = 30,574.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.