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Finding the Third Proportional to 24,302.25 and 51,975

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Solution

The third proportional to 24,302.25 and 51,975 is: 111,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302.25 : 51,975 = 51,975 : x
  2. Step 2: Convert to fraction form
    24,302.25/51,975 = 51,975/x
  3. Step 3: Cross multiply
    24,302.25x = 51,975 × 51,975
  4. Step 4: Simplify right side
    24,302.25x = 2,701,400,625
  5. Step 5: Solve for x
    x = 2,701,400,625/24,302.25
  6. Step 6: Final answer
    x = 111,158.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.