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Finding the Third Proportional to 14,268.66 and 21,405.52

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Solution

The third proportional to 14,268.66 and 21,405.52 is: 32,112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,268.66 : 21,405.52 = 21,405.52 : x
  2. Step 2: Convert to fraction form
    14,268.66/21,405.52 = 21,405.52/x
  3. Step 3: Cross multiply
    14,268.66x = 21,405.52 × 21,405.52
  4. Step 4: Simplify right side
    14,268.66x = 458,196,099.17
  5. Step 5: Solve for x
    x = 458,196,099.17/14,268.66
  6. Step 6: Final answer
    x = 32,112.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.