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Finding the Third Proportional to 18,029 and 39,101

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Solution

The third proportional to 18,029 and 39,101 is: 84,801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,029 : 39,101 = 39,101 : x
  2. Step 2: Convert to fraction form
    18,029/39,101 = 39,101/x
  3. Step 3: Cross multiply
    18,029x = 39,101 × 39,101
  4. Step 4: Simplify right side
    18,029x = 1,528,888,201
  5. Step 5: Solve for x
    x = 1,528,888,201/18,029
  6. Step 6: Final answer
    x = 84,801.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.