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Finding the Third Proportional to 1,431.56 and 1,899.56

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Solution

The third proportional to 1,431.56 and 1,899.56 is: 2,520.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.56 : 1,899.56 = 1,899.56 : x
  2. Step 2: Convert to fraction form
    1,431.56/1,899.56 = 1,899.56/x
  3. Step 3: Cross multiply
    1,431.56x = 1,899.56 × 1,899.56
  4. Step 4: Simplify right side
    1,431.56x = 3,608,337.69
  5. Step 5: Solve for x
    x = 3,608,337.69/1,431.56
  6. Step 6: Final answer
    x = 2,520.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.