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Finding the Third Proportional to 6,364.13 and 13,164.75

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Solution

The third proportional to 6,364.13 and 13,164.75 is: 27,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.13 : 13,164.75 = 13,164.75 : x
  2. Step 2: Convert to fraction form
    6,364.13/13,164.75 = 13,164.75/x
  3. Step 3: Cross multiply
    6,364.13x = 13,164.75 × 13,164.75
  4. Step 4: Simplify right side
    6,364.13x = 173,310,642.56
  5. Step 5: Solve for x
    x = 173,310,642.56/6,364.13
  6. Step 6: Final answer
    x = 27,232.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.