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Finding the Third Proportional to 12,093 and 25,972.50

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Solution

The third proportional to 12,093 and 25,972.50 is: 55,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093 : 25,972.50 = 25,972.50 : x
  2. Step 2: Convert to fraction form
    12,093/25,972.50 = 25,972.50/x
  3. Step 3: Cross multiply
    12,093x = 25,972.50 × 25,972.50
  4. Step 4: Simplify right side
    12,093x = 674,570,756.25
  5. Step 5: Solve for x
    x = 674,570,756.25/12,093
  6. Step 6: Final answer
    x = 55,781.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.