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Finding the Third Proportional to 14,475.38 and 22,023.56

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Solution

The third proportional to 14,475.38 and 22,023.56 is: 33,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475.38 : 22,023.56 = 22,023.56 : x
  2. Step 2: Convert to fraction form
    14,475.38/22,023.56 = 22,023.56/x
  3. Step 3: Cross multiply
    14,475.38x = 22,023.56 × 22,023.56
  4. Step 4: Simplify right side
    14,475.38x = 485,037,305.19
  5. Step 5: Solve for x
    x = 485,037,305.19/14,475.38
  6. Step 6: Final answer
    x = 33,507.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.