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Finding the Third Proportional to 8,164.13 and 19,544.63

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Solution

The third proportional to 8,164.13 and 19,544.63 is: 46,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.13 : 19,544.63 = 19,544.63 : x
  2. Step 2: Convert to fraction form
    8,164.13/19,544.63 = 19,544.63/x
  3. Step 3: Cross multiply
    8,164.13x = 19,544.63 × 19,544.63
  4. Step 4: Simplify right side
    8,164.13x = 381,992,366.39
  5. Step 5: Solve for x
    x = 381,992,366.39/8,164.13
  6. Step 6: Final answer
    x = 46,789.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.