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Finding the Third Proportional to 19,220 and 30,750

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Solution

The third proportional to 19,220 and 30,750 is: 49,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,220 : 30,750 = 30,750 : x
  2. Step 2: Convert to fraction form
    19,220/30,750 = 30,750/x
  3. Step 3: Cross multiply
    19,220x = 30,750 × 30,750
  4. Step 4: Simplify right side
    19,220x = 945,562,500
  5. Step 5: Solve for x
    x = 945,562,500/19,220
  6. Step 6: Final answer
    x = 49,196.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.