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Finding the Third Proportional to 47,093 and 69,824

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Solution

The third proportional to 47,093 and 69,824 is: 103,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,093 : 69,824 = 69,824 : x
  2. Step 2: Convert to fraction form
    47,093/69,824 = 69,824/x
  3. Step 3: Cross multiply
    47,093x = 69,824 × 69,824
  4. Step 4: Simplify right side
    47,093x = 4,875,390,976
  5. Step 5: Solve for x
    x = 4,875,390,976/47,093
  6. Step 6: Final answer
    x = 103,526.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.