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Finding the Third Proportional to 7,927.88 and 17,268.19

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Solution

The third proportional to 7,927.88 and 17,268.19 is: 37,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.88 : 17,268.19 = 17,268.19 : x
  2. Step 2: Convert to fraction form
    7,927.88/17,268.19 = 17,268.19/x
  3. Step 3: Cross multiply
    7,927.88x = 17,268.19 × 17,268.19
  4. Step 4: Simplify right side
    7,927.88x = 298,190,299.54
  5. Step 5: Solve for x
    x = 298,190,299.54/7,927.88
  6. Step 6: Final answer
    x = 37,612.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.