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Finding the Third Proportional to 22,546 and 48,220

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Solution

The third proportional to 22,546 and 48,220 is: 103,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546 : 48,220 = 48,220 : x
  2. Step 2: Convert to fraction form
    22,546/48,220 = 48,220/x
  3. Step 3: Cross multiply
    22,546x = 48,220 × 48,220
  4. Step 4: Simplify right side
    22,546x = 2,325,168,400
  5. Step 5: Solve for x
    x = 2,325,168,400/22,546
  6. Step 6: Final answer
    x = 103,129.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.