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Finding the Third Proportional to 2,164 and 3,265

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Solution

The third proportional to 2,164 and 3,265 is: 4,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164 : 3,265 = 3,265 : x
  2. Step 2: Convert to fraction form
    2,164/3,265 = 3,265/x
  3. Step 3: Cross multiply
    2,164x = 3,265 × 3,265
  4. Step 4: Simplify right side
    2,164x = 10,660,225
  5. Step 5: Solve for x
    x = 10,660,225/2,164
  6. Step 6: Final answer
    x = 4,926.17

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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.