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Finding the Third Proportional to 40,584 and 60,711

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Solution

The third proportional to 40,584 and 60,711 is: 90,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,584 : 60,711 = 60,711 : x
  2. Step 2: Convert to fraction form
    40,584/60,711 = 60,711/x
  3. Step 3: Cross multiply
    40,584x = 60,711 × 60,711
  4. Step 4: Simplify right side
    40,584x = 3,685,825,521
  5. Step 5: Solve for x
    x = 3,685,825,521/40,584
  6. Step 6: Final answer
    x = 90,819.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.