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Finding the Third Proportional to 14,442.05 and 21,606.12

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Solution

The third proportional to 14,442.05 and 21,606.12 is: 32,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.05 : 21,606.12 = 21,606.12 : x
  2. Step 2: Convert to fraction form
    14,442.05/21,606.12 = 21,606.12/x
  3. Step 3: Cross multiply
    14,442.05x = 21,606.12 × 21,606.12
  4. Step 4: Simplify right side
    14,442.05x = 466,824,299.92
  5. Step 5: Solve for x
    x = 466,824,299.92/14,442.05
  6. Step 6: Final answer
    x = 32,323.97

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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.