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Finding the Third Proportional to 38,983 and 91,101

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Solution

The third proportional to 38,983 and 91,101 is: 212,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,983 : 91,101 = 91,101 : x
  2. Step 2: Convert to fraction form
    38,983/91,101 = 91,101/x
  3. Step 3: Cross multiply
    38,983x = 91,101 × 91,101
  4. Step 4: Simplify right side
    38,983x = 8,299,392,201
  5. Step 5: Solve for x
    x = 8,299,392,201/38,983
  6. Step 6: Final answer
    x = 212,897.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.