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Finding the Third Proportional to 3,749.63 and 8,066.81

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Solution

The third proportional to 3,749.63 and 8,066.81 is: 17,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.63 : 8,066.81 = 8,066.81 : x
  2. Step 2: Convert to fraction form
    3,749.63/8,066.81 = 8,066.81/x
  3. Step 3: Cross multiply
    3,749.63x = 8,066.81 × 8,066.81
  4. Step 4: Simplify right side
    3,749.63x = 65,073,463.91
  5. Step 5: Solve for x
    x = 65,073,463.91/3,749.63
  6. Step 6: Final answer
    x = 17,354.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.