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Finding the Third Proportional to 3,637.69 and 7,941.80

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Solution

The third proportional to 3,637.69 and 7,941.80 is: 17,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.69 : 7,941.80 = 7,941.80 : x
  2. Step 2: Convert to fraction form
    3,637.69/7,941.80 = 7,941.80/x
  3. Step 3: Cross multiply
    3,637.69x = 7,941.80 × 7,941.80
  4. Step 4: Simplify right side
    3,637.69x = 63,072,137.60
  5. Step 5: Solve for x
    x = 63,072,137.60/3,637.69
  6. Step 6: Final answer
    x = 17,338.53

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