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Finding the Third Proportional to 24,375 and 49,614

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Solution

The third proportional to 24,375 and 49,614 is: 100,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375 : 49,614 = 49,614 : x
  2. Step 2: Convert to fraction form
    24,375/49,614 = 49,614/x
  3. Step 3: Cross multiply
    24,375x = 49,614 × 49,614
  4. Step 4: Simplify right side
    24,375x = 2,461,548,996
  5. Step 5: Solve for x
    x = 2,461,548,996/24,375
  6. Step 6: Final answer
    x = 100,986.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.