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Finding the Third Proportional to 2,164 and 4,652

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Solution

The third proportional to 2,164 and 4,652 is: 10,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164 : 4,652 = 4,652 : x
  2. Step 2: Convert to fraction form
    2,164/4,652 = 4,652/x
  3. Step 3: Cross multiply
    2,164x = 4,652 × 4,652
  4. Step 4: Simplify right side
    2,164x = 21,641,104
  5. Step 5: Solve for x
    x = 21,641,104/2,164
  6. Step 6: Final answer
    x = 10,000.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.