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Finding the Third Proportional to 17,718.12 and 27,656.44

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Solution

The third proportional to 17,718.12 and 27,656.44 is: 43,169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,718.12 : 27,656.44 = 27,656.44 : x
  2. Step 2: Convert to fraction form
    17,718.12/27,656.44 = 27,656.44/x
  3. Step 3: Cross multiply
    17,718.12x = 27,656.44 × 27,656.44
  4. Step 4: Simplify right side
    17,718.12x = 764,878,535.19
  5. Step 5: Solve for x
    x = 764,878,535.19/17,718.12
  6. Step 6: Final answer
    x = 43,169.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.