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Finding the Third Proportional to 23,483.25 and 48,519

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Solution

The third proportional to 23,483.25 and 48,519 is: 100,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,483.25 : 48,519 = 48,519 : x
  2. Step 2: Convert to fraction form
    23,483.25/48,519 = 48,519/x
  3. Step 3: Cross multiply
    23,483.25x = 48,519 × 48,519
  4. Step 4: Simplify right side
    23,483.25x = 2,354,093,361
  5. Step 5: Solve for x
    x = 2,354,093,361/23,483.25
  6. Step 6: Final answer
    x = 100,245.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.