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Finding the Third Proportional to 6,268.01 and 13,340.95

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Solution

The third proportional to 6,268.01 and 13,340.95 is: 28,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.01 : 13,340.95 = 13,340.95 : x
  2. Step 2: Convert to fraction form
    6,268.01/13,340.95 = 13,340.95/x
  3. Step 3: Cross multiply
    6,268.01x = 13,340.95 × 13,340.95
  4. Step 4: Simplify right side
    6,268.01x = 177,981,030.28
  5. Step 5: Solve for x
    x = 177,981,030.28/6,268.01
  6. Step 6: Final answer
    x = 28,395.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.