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Finding the Third Proportional to 17,860 and 38,024

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Solution

The third proportional to 17,860 and 38,024 is: 80,953.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,860 : 38,024 = 38,024 : x
  2. Step 2: Convert to fraction form
    17,860/38,024 = 38,024/x
  3. Step 3: Cross multiply
    17,860x = 38,024 × 38,024
  4. Step 4: Simplify right side
    17,860x = 1,445,824,576
  5. Step 5: Solve for x
    x = 1,445,824,576/17,860
  6. Step 6: Final answer
    x = 80,953.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.