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Finding the Third Proportional to 29,549 and 49,242

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Solution

The third proportional to 29,549 and 49,242 is: 82,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,549 : 49,242 = 49,242 : x
  2. Step 2: Convert to fraction form
    29,549/49,242 = 49,242/x
  3. Step 3: Cross multiply
    29,549x = 49,242 × 49,242
  4. Step 4: Simplify right side
    29,549x = 2,424,774,564
  5. Step 5: Solve for x
    x = 2,424,774,564/29,549
  6. Step 6: Final answer
    x = 82,059.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.