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Finding the Third Proportional to 11,336.06 and 14,457.94

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Solution

The third proportional to 11,336.06 and 14,457.94 is: 18,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,336.06 : 14,457.94 = 14,457.94 : x
  2. Step 2: Convert to fraction form
    11,336.06/14,457.94 = 14,457.94/x
  3. Step 3: Cross multiply
    11,336.06x = 14,457.94 × 14,457.94
  4. Step 4: Simplify right side
    11,336.06x = 209,031,956.75
  5. Step 5: Solve for x
    x = 209,031,956.75/11,336.06
  6. Step 6: Final answer
    x = 18,439.56

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.