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Finding the Third Proportional to 1,908.38 and 3,035.72

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Solution

The third proportional to 1,908.38 and 3,035.72 is: 4,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.38 : 3,035.72 = 3,035.72 : x
  2. Step 2: Convert to fraction form
    1,908.38/3,035.72 = 3,035.72/x
  3. Step 3: Cross multiply
    1,908.38x = 3,035.72 × 3,035.72
  4. Step 4: Simplify right side
    1,908.38x = 9,215,588.33
  5. Step 5: Solve for x
    x = 9,215,588.33/1,908.38
  6. Step 6: Final answer
    x = 4,829.02

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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.