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Finding the Third Proportional to 8,939 and 19,242

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Solution

The third proportional to 8,939 and 19,242 is: 41,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,939 : 19,242 = 19,242 : x
  2. Step 2: Convert to fraction form
    8,939/19,242 = 19,242/x
  3. Step 3: Cross multiply
    8,939x = 19,242 × 19,242
  4. Step 4: Simplify right side
    8,939x = 370,254,564
  5. Step 5: Solve for x
    x = 370,254,564/8,939
  6. Step 6: Final answer
    x = 41,420.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.