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Finding the Third Proportional to 7,941.38 and 17,114.63

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Solution

The third proportional to 7,941.38 and 17,114.63 is: 36,884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941.38 : 17,114.63 = 17,114.63 : x
  2. Step 2: Convert to fraction form
    7,941.38/17,114.63 = 17,114.63/x
  3. Step 3: Cross multiply
    7,941.38x = 17,114.63 × 17,114.63
  4. Step 4: Simplify right side
    7,941.38x = 292,910,388.89
  5. Step 5: Solve for x
    x = 292,910,388.89/7,941.38
  6. Step 6: Final answer
    x = 36,884.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.