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Finding the Third Proportional to 7,993.25 and 18,669.63

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Solution

The third proportional to 7,993.25 and 18,669.63 is: 43,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.25 : 18,669.63 = 18,669.63 : x
  2. Step 2: Convert to fraction form
    7,993.25/18,669.63 = 18,669.63/x
  3. Step 3: Cross multiply
    7,993.25x = 18,669.63 × 18,669.63
  4. Step 4: Simplify right side
    7,993.25x = 348,554,897.64
  5. Step 5: Solve for x
    x = 348,554,897.64/7,993.25
  6. Step 6: Final answer
    x = 43,606.15

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.