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Finding the Third Proportional to 1,604.75 and 2,565.75

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Solution

The third proportional to 1,604.75 and 2,565.75 is: 4,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.75 : 2,565.75 = 2,565.75 : x
  2. Step 2: Convert to fraction form
    1,604.75/2,565.75 = 2,565.75/x
  3. Step 3: Cross multiply
    1,604.75x = 2,565.75 × 2,565.75
  4. Step 4: Simplify right side
    1,604.75x = 6,583,073.06
  5. Step 5: Solve for x
    x = 6,583,073.06/1,604.75
  6. Step 6: Final answer
    x = 4,102.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.