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Finding the Third Proportional to 1,928.81 and 3,066.19

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Solution

The third proportional to 1,928.81 and 3,066.19 is: 4,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.81 : 3,066.19 = 3,066.19 : x
  2. Step 2: Convert to fraction form
    1,928.81/3,066.19 = 3,066.19/x
  3. Step 3: Cross multiply
    1,928.81x = 3,066.19 × 3,066.19
  4. Step 4: Simplify right side
    1,928.81x = 9,401,505.79
  5. Step 5: Solve for x
    x = 9,401,505.79/1,928.81
  6. Step 6: Final answer
    x = 4,874.25

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.