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Finding the Third Proportional to 40,191 and 63,690

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Solution

The third proportional to 40,191 and 63,690 is: 100,928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,191 : 63,690 = 63,690 : x
  2. Step 2: Convert to fraction form
    40,191/63,690 = 63,690/x
  3. Step 3: Cross multiply
    40,191x = 63,690 × 63,690
  4. Step 4: Simplify right side
    40,191x = 4,056,416,100
  5. Step 5: Solve for x
    x = 4,056,416,100/40,191
  6. Step 6: Final answer
    x = 100,928.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.