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Finding the Third Proportional to 4,036 and 8,164

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Solution

The third proportional to 4,036 and 8,164 is: 16,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,036 : 8,164 = 8,164 : x
  2. Step 2: Convert to fraction form
    4,036/8,164 = 8,164/x
  3. Step 3: Cross multiply
    4,036x = 8,164 × 8,164
  4. Step 4: Simplify right side
    4,036x = 66,650,896
  5. Step 5: Solve for x
    x = 66,650,896/4,036
  6. Step 6: Final answer
    x = 16,514.10

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.