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Finding the Third Proportional to 10,629.56 and 14,099.06

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Solution

The third proportional to 10,629.56 and 14,099.06 is: 18,701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,629.56 : 14,099.06 = 14,099.06 : x
  2. Step 2: Convert to fraction form
    10,629.56/14,099.06 = 14,099.06/x
  3. Step 3: Cross multiply
    10,629.56x = 14,099.06 × 14,099.06
  4. Step 4: Simplify right side
    10,629.56x = 198,783,563.38
  5. Step 5: Solve for x
    x = 198,783,563.38/10,629.56
  6. Step 6: Final answer
    x = 18,701.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.