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Finding the Third Proportional to 23,814 and 38,242

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Solution

The third proportional to 23,814 and 38,242 is: 61,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814 : 38,242 = 38,242 : x
  2. Step 2: Convert to fraction form
    23,814/38,242 = 38,242/x
  3. Step 3: Cross multiply
    23,814x = 38,242 × 38,242
  4. Step 4: Simplify right side
    23,814x = 1,462,450,564
  5. Step 5: Solve for x
    x = 1,462,450,564/23,814
  6. Step 6: Final answer
    x = 61,411.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.