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Finding the Third Proportional to 9,738.56 and 20,970.56

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Solution

The third proportional to 9,738.56 and 20,970.56 is: 45,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.56 : 20,970.56 = 20,970.56 : x
  2. Step 2: Convert to fraction form
    9,738.56/20,970.56 = 20,970.56/x
  3. Step 3: Cross multiply
    9,738.56x = 20,970.56 × 20,970.56
  4. Step 4: Simplify right side
    9,738.56x = 439,764,491.57
  5. Step 5: Solve for x
    x = 439,764,491.57/9,738.56
  6. Step 6: Final answer
    x = 45,157.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.