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Finding the Third Proportional to 11,750 and 25,436

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Solution

The third proportional to 11,750 and 25,436 is: 55,062.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750 : 25,436 = 25,436 : x
  2. Step 2: Convert to fraction form
    11,750/25,436 = 25,436/x
  3. Step 3: Cross multiply
    11,750x = 25,436 × 25,436
  4. Step 4: Simplify right side
    11,750x = 646,990,096
  5. Step 5: Solve for x
    x = 646,990,096/11,750
  6. Step 6: Final answer
    x = 55,062.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.