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Finding the Third Proportional to 22,896 and 47,546.25

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Solution

The third proportional to 22,896 and 47,546.25 is: 98,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896 : 47,546.25 = 47,546.25 : x
  2. Step 2: Convert to fraction form
    22,896/47,546.25 = 47,546.25/x
  3. Step 3: Cross multiply
    22,896x = 47,546.25 × 47,546.25
  4. Step 4: Simplify right side
    22,896x = 2,260,645,889.06
  5. Step 5: Solve for x
    x = 2,260,645,889.06/22,896
  6. Step 6: Final answer
    x = 98,735.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.