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Finding the Third Proportional to 23,250 and 50,122.50

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Solution

The third proportional to 23,250 and 50,122.50 is: 108,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,250 : 50,122.50 = 50,122.50 : x
  2. Step 2: Convert to fraction form
    23,250/50,122.50 = 50,122.50/x
  3. Step 3: Cross multiply
    23,250x = 50,122.50 × 50,122.50
  4. Step 4: Simplify right side
    23,250x = 2,512,265,006.25
  5. Step 5: Solve for x
    x = 2,512,265,006.25/23,250
  6. Step 6: Final answer
    x = 108,054.41

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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.