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Finding the Third Proportional to 2,328 and 3,609.75

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Solution

The third proportional to 2,328 and 3,609.75 is: 5,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328 : 3,609.75 = 3,609.75 : x
  2. Step 2: Convert to fraction form
    2,328/3,609.75 = 3,609.75/x
  3. Step 3: Cross multiply
    2,328x = 3,609.75 × 3,609.75
  4. Step 4: Simplify right side
    2,328x = 13,030,295.06
  5. Step 5: Solve for x
    x = 13,030,295.06/2,328
  6. Step 6: Final answer
    x = 5,597.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.