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Finding the Third Proportional to 30,766 and 48,200

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Solution

The third proportional to 30,766 and 48,200 is: 75,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,766 : 48,200 = 48,200 : x
  2. Step 2: Convert to fraction form
    30,766/48,200 = 48,200/x
  3. Step 3: Cross multiply
    30,766x = 48,200 × 48,200
  4. Step 4: Simplify right side
    30,766x = 2,323,240,000
  5. Step 5: Solve for x
    x = 2,323,240,000/30,766
  6. Step 6: Final answer
    x = 75,513.23

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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.