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Finding the Third Proportional to 6,201.56 and 13,268.81

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Solution

The third proportional to 6,201.56 and 13,268.81 is: 28,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.56 : 13,268.81 = 13,268.81 : x
  2. Step 2: Convert to fraction form
    6,201.56/13,268.81 = 13,268.81/x
  3. Step 3: Cross multiply
    6,201.56x = 13,268.81 × 13,268.81
  4. Step 4: Simplify right side
    6,201.56x = 176,061,385.16
  5. Step 5: Solve for x
    x = 176,061,385.16/6,201.56
  6. Step 6: Final answer
    x = 28,389.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.