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Finding the Third Proportional to 23,823 and 53,716

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Solution

The third proportional to 23,823 and 53,716 is: 121,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823 : 53,716 = 53,716 : x
  2. Step 2: Convert to fraction form
    23,823/53,716 = 53,716/x
  3. Step 3: Cross multiply
    23,823x = 53,716 × 53,716
  4. Step 4: Simplify right side
    23,823x = 2,885,408,656
  5. Step 5: Solve for x
    x = 2,885,408,656/23,823
  6. Step 6: Final answer
    x = 121,118.61

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.