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Finding the Third Proportional to 41,711 and 91,724

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Solution

The third proportional to 41,711 and 91,724 is: 201,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,711 : 91,724 = 91,724 : x
  2. Step 2: Convert to fraction form
    41,711/91,724 = 91,724/x
  3. Step 3: Cross multiply
    41,711x = 91,724 × 91,724
  4. Step 4: Simplify right side
    41,711x = 8,413,292,176
  5. Step 5: Solve for x
    x = 8,413,292,176/41,711
  6. Step 6: Final answer
    x = 201,704.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.