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Finding the Third Proportional to 41,284 and 60,196

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Solution

The third proportional to 41,284 and 60,196 is: 87,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,284 : 60,196 = 60,196 : x
  2. Step 2: Convert to fraction form
    41,284/60,196 = 60,196/x
  3. Step 3: Cross multiply
    41,284x = 60,196 × 60,196
  4. Step 4: Simplify right side
    41,284x = 3,623,558,416
  5. Step 5: Solve for x
    x = 3,623,558,416/41,284
  6. Step 6: Final answer
    x = 87,771.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.