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Finding the Third Proportional to 1,560.38 and 2,333.81

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Solution

The third proportional to 1,560.38 and 2,333.81 is: 3,490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.38 : 2,333.81 = 2,333.81 : x
  2. Step 2: Convert to fraction form
    1,560.38/2,333.81 = 2,333.81/x
  3. Step 3: Cross multiply
    1,560.38x = 2,333.81 × 2,333.81
  4. Step 4: Simplify right side
    1,560.38x = 5,446,680.79
  5. Step 5: Solve for x
    x = 5,446,680.79/1,560.38
  6. Step 6: Final answer
    x = 3,490.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.