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Finding the Third Proportional to 20,316 and 38,184

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Solution

The third proportional to 20,316 and 38,184 is: 71,766.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,316 : 38,184 = 38,184 : x
  2. Step 2: Convert to fraction form
    20,316/38,184 = 38,184/x
  3. Step 3: Cross multiply
    20,316x = 38,184 × 38,184
  4. Step 4: Simplify right side
    20,316x = 1,458,017,856
  5. Step 5: Solve for x
    x = 1,458,017,856/20,316
  6. Step 6: Final answer
    x = 71,766.97

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.