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Finding the Third Proportional to 18,196 and 39,178

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Solution

The third proportional to 18,196 and 39,178 is: 84,354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,196 : 39,178 = 39,178 : x
  2. Step 2: Convert to fraction form
    18,196/39,178 = 39,178/x
  3. Step 3: Cross multiply
    18,196x = 39,178 × 39,178
  4. Step 4: Simplify right side
    18,196x = 1,534,915,684
  5. Step 5: Solve for x
    x = 1,534,915,684/18,196
  6. Step 6: Final answer
    x = 84,354.57

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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.