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Finding the Third Proportional to 14,956.44 and 23,155.84

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Solution

The third proportional to 14,956.44 and 23,155.84 is: 35,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,956.44 : 23,155.84 = 23,155.84 : x
  2. Step 2: Convert to fraction form
    14,956.44/23,155.84 = 23,155.84/x
  3. Step 3: Cross multiply
    14,956.44x = 23,155.84 × 23,155.84
  4. Step 4: Simplify right side
    14,956.44x = 536,193,099.77
  5. Step 5: Solve for x
    x = 536,193,099.77/14,956.44
  6. Step 6: Final answer
    x = 35,850.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.