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Finding the Third Proportional to 47,044 and 68,838

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Solution

The third proportional to 47,044 and 68,838 is: 100,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,044 : 68,838 = 68,838 : x
  2. Step 2: Convert to fraction form
    47,044/68,838 = 68,838/x
  3. Step 3: Cross multiply
    47,044x = 68,838 × 68,838
  4. Step 4: Simplify right side
    47,044x = 4,738,670,244
  5. Step 5: Solve for x
    x = 4,738,670,244/47,044
  6. Step 6: Final answer
    x = 100,728.47

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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.