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Finding the Third Proportional to 14,828.06 and 22,217.63

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Solution

The third proportional to 14,828.06 and 22,217.63 is: 33,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828.06 : 22,217.63 = 22,217.63 : x
  2. Step 2: Convert to fraction form
    14,828.06/22,217.63 = 22,217.63/x
  3. Step 3: Cross multiply
    14,828.06x = 22,217.63 × 22,217.63
  4. Step 4: Simplify right side
    14,828.06x = 493,622,860.64
  5. Step 5: Solve for x
    x = 493,622,860.64/14,828.06
  6. Step 6: Final answer
    x = 33,289.77

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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.