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Finding the Third Proportional to 41,958 and 63,546

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Solution

The third proportional to 41,958 and 63,546 is: 96,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,958 : 63,546 = 63,546 : x
  2. Step 2: Convert to fraction form
    41,958/63,546 = 63,546/x
  3. Step 3: Cross multiply
    41,958x = 63,546 × 63,546
  4. Step 4: Simplify right side
    41,958x = 4,038,094,116
  5. Step 5: Solve for x
    x = 4,038,094,116/41,958
  6. Step 6: Final answer
    x = 96,241.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.