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Finding the Third Proportional to 7,691.63 and 18,771.75

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Solution

The third proportional to 7,691.63 and 18,771.75 is: 45,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.63 : 18,771.75 = 18,771.75 : x
  2. Step 2: Convert to fraction form
    7,691.63/18,771.75 = 18,771.75/x
  3. Step 3: Cross multiply
    7,691.63x = 18,771.75 × 18,771.75
  4. Step 4: Simplify right side
    7,691.63x = 352,378,598.06
  5. Step 5: Solve for x
    x = 352,378,598.06/7,691.63
  6. Step 6: Final answer
    x = 45,813.28

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These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.