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Finding the Third Proportional to 14,964.75 and 22,317.38

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Solution

The third proportional to 14,964.75 and 22,317.38 is: 33,282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,964.75 : 22,317.38 = 22,317.38 : x
  2. Step 2: Convert to fraction form
    14,964.75/22,317.38 = 22,317.38/x
  3. Step 3: Cross multiply
    14,964.75x = 22,317.38 × 22,317.38
  4. Step 4: Simplify right side
    14,964.75x = 498,065,226.89
  5. Step 5: Solve for x
    x = 498,065,226.89/14,964.75
  6. Step 6: Final answer
    x = 33,282.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.