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Finding the Third Proportional to 30,873 and 48,496.50

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Solution

The third proportional to 30,873 and 48,496.50 is: 76,180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,873 : 48,496.50 = 48,496.50 : x
  2. Step 2: Convert to fraction form
    30,873/48,496.50 = 48,496.50/x
  3. Step 3: Cross multiply
    30,873x = 48,496.50 × 48,496.50
  4. Step 4: Simplify right side
    30,873x = 2,351,910,512.25
  5. Step 5: Solve for x
    x = 2,351,910,512.25/30,873
  6. Step 6: Final answer
    x = 76,180.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.