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Finding the Third Proportional to 10,972.50 and 24,027

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Solution

The third proportional to 10,972.50 and 24,027 is: 52,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.50 : 24,027 = 24,027 : x
  2. Step 2: Convert to fraction form
    10,972.50/24,027 = 24,027/x
  3. Step 3: Cross multiply
    10,972.50x = 24,027 × 24,027
  4. Step 4: Simplify right side
    10,972.50x = 577,296,729
  5. Step 5: Solve for x
    x = 577,296,729/10,972.50
  6. Step 6: Final answer
    x = 52,613.05

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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.