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Finding the Third Proportional to 23,454 and 54,243

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Solution

The third proportional to 23,454 and 54,243 is: 125,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454 : 54,243 = 54,243 : x
  2. Step 2: Convert to fraction form
    23,454/54,243 = 54,243/x
  3. Step 3: Cross multiply
    23,454x = 54,243 × 54,243
  4. Step 4: Simplify right side
    23,454x = 2,942,303,049
  5. Step 5: Solve for x
    x = 2,942,303,049/23,454
  6. Step 6: Final answer
    x = 125,449.95

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.