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Finding the Third Proportional to 17,939 and 39,154

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Solution

The third proportional to 17,939 and 39,154 is: 85,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,939 : 39,154 = 39,154 : x
  2. Step 2: Convert to fraction form
    17,939/39,154 = 39,154/x
  3. Step 3: Cross multiply
    17,939x = 39,154 × 39,154
  4. Step 4: Simplify right side
    17,939x = 1,533,035,716
  5. Step 5: Solve for x
    x = 1,533,035,716/17,939
  6. Step 6: Final answer
    x = 85,458.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.