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Finding the Third Proportional to 10,962.50 and 23,975

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Solution

The third proportional to 10,962.50 and 23,975 is: 52,433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962.50 : 23,975 = 23,975 : x
  2. Step 2: Convert to fraction form
    10,962.50/23,975 = 23,975/x
  3. Step 3: Cross multiply
    10,962.50x = 23,975 × 23,975
  4. Step 4: Simplify right side
    10,962.50x = 574,800,625
  5. Step 5: Solve for x
    x = 574,800,625/10,962.50
  6. Step 6: Final answer
    x = 52,433.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.