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Finding the Third Proportional to 30,986 and 49,242

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Solution

The third proportional to 30,986 and 49,242 is: 78,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986 : 49,242 = 49,242 : x
  2. Step 2: Convert to fraction form
    30,986/49,242 = 49,242/x
  3. Step 3: Cross multiply
    30,986x = 49,242 × 49,242
  4. Step 4: Simplify right side
    30,986x = 2,424,774,564
  5. Step 5: Solve for x
    x = 2,424,774,564/30,986
  6. Step 6: Final answer
    x = 78,253.87

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.