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Finding the Third Proportional to 8,357.25 and 19,799.63

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Solution

The third proportional to 8,357.25 and 19,799.63 is: 46,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.25 : 19,799.63 = 19,799.63 : x
  2. Step 2: Convert to fraction form
    8,357.25/19,799.63 = 19,799.63/x
  3. Step 3: Cross multiply
    8,357.25x = 19,799.63 × 19,799.63
  4. Step 4: Simplify right side
    8,357.25x = 392,025,150.14
  5. Step 5: Solve for x
    x = 392,025,150.14/8,357.25
  6. Step 6: Final answer
    x = 46,908.39

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.