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Finding the Third Proportional to 14,935.25 and 22,374.04

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Solution

The third proportional to 14,935.25 and 22,374.04 is: 33,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,935.25 : 22,374.04 = 22,374.04 : x
  2. Step 2: Convert to fraction form
    14,935.25/22,374.04 = 22,374.04/x
  3. Step 3: Cross multiply
    14,935.25x = 22,374.04 × 22,374.04
  4. Step 4: Simplify right side
    14,935.25x = 500,597,449.17
  5. Step 5: Solve for x
    x = 500,597,449.17/14,935.25
  6. Step 6: Final answer
    x = 33,517.86

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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.