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Finding the Third Proportional to 11,872.50 and 25,492

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Solution

The third proportional to 11,872.50 and 25,492 is: 54,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.50 : 25,492 = 25,492 : x
  2. Step 2: Convert to fraction form
    11,872.50/25,492 = 25,492/x
  3. Step 3: Cross multiply
    11,872.50x = 25,492 × 25,492
  4. Step 4: Simplify right side
    11,872.50x = 649,842,064
  5. Step 5: Solve for x
    x = 649,842,064/11,872.50
  6. Step 6: Final answer
    x = 54,735.07

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