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Finding the Third Proportional to 22,258.25 and 45,341

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Solution

The third proportional to 22,258.25 and 45,341 is: 92,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,258.25 : 45,341 = 45,341 : x
  2. Step 2: Convert to fraction form
    22,258.25/45,341 = 45,341/x
  3. Step 3: Cross multiply
    22,258.25x = 45,341 × 45,341
  4. Step 4: Simplify right side
    22,258.25x = 2,055,806,281
  5. Step 5: Solve for x
    x = 2,055,806,281/22,258.25
  6. Step 6: Final answer
    x = 92,361.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.