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Finding the Third Proportional to 39,836 and 61,148

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Solution

The third proportional to 39,836 and 61,148 is: 93,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,836 : 61,148 = 61,148 : x
  2. Step 2: Convert to fraction form
    39,836/61,148 = 61,148/x
  3. Step 3: Cross multiply
    39,836x = 61,148 × 61,148
  4. Step 4: Simplify right side
    39,836x = 3,739,077,904
  5. Step 5: Solve for x
    x = 3,739,077,904/39,836
  6. Step 6: Final answer
    x = 93,861.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.