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Finding the Third Proportional to 41,094 and 63,479.25

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Solution

The third proportional to 41,094 and 63,479.25 is: 98,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,094 : 63,479.25 = 63,479.25 : x
  2. Step 2: Convert to fraction form
    41,094/63,479.25 = 63,479.25/x
  3. Step 3: Cross multiply
    41,094x = 63,479.25 × 63,479.25
  4. Step 4: Simplify right side
    41,094x = 4,029,615,180.56
  5. Step 5: Solve for x
    x = 4,029,615,180.56/41,094
  6. Step 6: Final answer
    x = 98,058.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.