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Finding the Third Proportional to 2,066.63 and 3,119.06

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Solution

The third proportional to 2,066.63 and 3,119.06 is: 4,707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.63 : 3,119.06 = 3,119.06 : x
  2. Step 2: Convert to fraction form
    2,066.63/3,119.06 = 3,119.06/x
  3. Step 3: Cross multiply
    2,066.63x = 3,119.06 × 3,119.06
  4. Step 4: Simplify right side
    2,066.63x = 9,728,550.88
  5. Step 5: Solve for x
    x = 9,728,550.88/2,066.63
  6. Step 6: Final answer
    x = 4,707.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.