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Finding the Third Proportional to 1,595.75 and 3,328

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Solution

The third proportional to 1,595.75 and 3,328 is: 6,940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.75 : 3,328 = 3,328 : x
  2. Step 2: Convert to fraction form
    1,595.75/3,328 = 3,328/x
  3. Step 3: Cross multiply
    1,595.75x = 3,328 × 3,328
  4. Step 4: Simplify right side
    1,595.75x = 11,075,584
  5. Step 5: Solve for x
    x = 11,075,584/1,595.75
  6. Step 6: Final answer
    x = 6,940.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.