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Finding the Third Proportional to 23,788.50 and 51,231

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Solution

The third proportional to 23,788.50 and 51,231 is: 110,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.50 : 51,231 = 51,231 : x
  2. Step 2: Convert to fraction form
    23,788.50/51,231 = 51,231/x
  3. Step 3: Cross multiply
    23,788.50x = 51,231 × 51,231
  4. Step 4: Simplify right side
    23,788.50x = 2,624,615,361
  5. Step 5: Solve for x
    x = 2,624,615,361/23,788.50
  6. Step 6: Final answer
    x = 110,331.27

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Why These Related Problems?

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