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Finding the Third Proportional to 19,544 and 38,114

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Solution

The third proportional to 19,544 and 38,114 is: 74,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,544 : 38,114 = 38,114 : x
  2. Step 2: Convert to fraction form
    19,544/38,114 = 38,114/x
  3. Step 3: Cross multiply
    19,544x = 38,114 × 38,114
  4. Step 4: Simplify right side
    19,544x = 1,452,676,996
  5. Step 5: Solve for x
    x = 1,452,676,996/19,544
  6. Step 6: Final answer
    x = 74,328.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.