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Finding the Third Proportional to 1,037.81 and 1,560.97

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Solution

The third proportional to 1,037.81 and 1,560.97 is: 2,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.81 : 1,560.97 = 1,560.97 : x
  2. Step 2: Convert to fraction form
    1,037.81/1,560.97 = 1,560.97/x
  3. Step 3: Cross multiply
    1,037.81x = 1,560.97 × 1,560.97
  4. Step 4: Simplify right side
    1,037.81x = 2,436,623.44
  5. Step 5: Solve for x
    x = 2,436,623.44/1,037.81
  6. Step 6: Final answer
    x = 2,347.85

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Why These Related Problems?

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