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Finding the Third Proportional to 1,037 and 1,565.25

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Solution

The third proportional to 1,037 and 1,565.25 is: 2,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037 : 1,565.25 = 1,565.25 : x
  2. Step 2: Convert to fraction form
    1,037/1,565.25 = 1,565.25/x
  3. Step 3: Cross multiply
    1,037x = 1,565.25 × 1,565.25
  4. Step 4: Simplify right side
    1,037x = 2,450,007.56
  5. Step 5: Solve for x
    x = 2,450,007.56/1,037
  6. Step 6: Final answer
    x = 2,362.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.