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Finding the Third Proportional to 47,036 and 97,906

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Solution

The third proportional to 47,036 and 97,906 is: 203,792.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,036 : 97,906 = 97,906 : x
  2. Step 2: Convert to fraction form
    47,036/97,906 = 97,906/x
  3. Step 3: Cross multiply
    47,036x = 97,906 × 97,906
  4. Step 4: Simplify right side
    47,036x = 9,585,584,836
  5. Step 5: Solve for x
    x = 9,585,584,836/47,036
  6. Step 6: Final answer
    x = 203,792.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.