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Finding the Third Proportional to 8,114.63 and 11,019.94

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Solution

The third proportional to 8,114.63 and 11,019.94 is: 14,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.63 : 11,019.94 = 11,019.94 : x
  2. Step 2: Convert to fraction form
    8,114.63/11,019.94 = 11,019.94/x
  3. Step 3: Cross multiply
    8,114.63x = 11,019.94 × 11,019.94
  4. Step 4: Simplify right side
    8,114.63x = 121,439,022.50
  5. Step 5: Solve for x
    x = 121,439,022.50/8,114.63
  6. Step 6: Final answer
    x = 14,965.45

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.