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Finding the Third Proportional to 10,968.56 and 23,688.56

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Solution

The third proportional to 10,968.56 and 23,688.56 is: 51,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968.56 : 23,688.56 = 23,688.56 : x
  2. Step 2: Convert to fraction form
    10,968.56/23,688.56 = 23,688.56/x
  3. Step 3: Cross multiply
    10,968.56x = 23,688.56 × 23,688.56
  4. Step 4: Simplify right side
    10,968.56x = 561,147,993.32
  5. Step 5: Solve for x
    x = 561,147,993.32/10,968.56
  6. Step 6: Final answer
    x = 51,159.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.