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Finding the Third Proportional to 14,581.69 and 21,928.31

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Solution

The third proportional to 14,581.69 and 21,928.31 is: 32,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,581.69 : 21,928.31 = 21,928.31 : x
  2. Step 2: Convert to fraction form
    14,581.69/21,928.31 = 21,928.31/x
  3. Step 3: Cross multiply
    14,581.69x = 21,928.31 × 21,928.31
  4. Step 4: Simplify right side
    14,581.69x = 480,850,889.10
  5. Step 5: Solve for x
    x = 480,850,889.10/14,581.69
  6. Step 6: Final answer
    x = 32,976.35

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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.