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Finding the Third Proportional to 22,360 and 48,200

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Solution

The third proportional to 22,360 and 48,200 is: 103,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,360 : 48,200 = 48,200 : x
  2. Step 2: Convert to fraction form
    22,360/48,200 = 48,200/x
  3. Step 3: Cross multiply
    22,360x = 48,200 × 48,200
  4. Step 4: Simplify right side
    22,360x = 2,323,240,000
  5. Step 5: Solve for x
    x = 2,323,240,000/22,360
  6. Step 6: Final answer
    x = 103,901.61

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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.