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Finding the Third Proportional to 19,504 and 38,024

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Solution

The third proportional to 19,504 and 38,024 is: 74,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504 : 38,024 = 38,024 : x
  2. Step 2: Convert to fraction form
    19,504/38,024 = 38,024/x
  3. Step 3: Cross multiply
    19,504x = 38,024 × 38,024
  4. Step 4: Simplify right side
    19,504x = 1,445,824,576
  5. Step 5: Solve for x
    x = 1,445,824,576/19,504
  6. Step 6: Final answer
    x = 74,129.64

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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.