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Finding the Third Proportional to 15,164.72 and 21,942.14

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Solution

The third proportional to 15,164.72 and 21,942.14 is: 31,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,164.72 : 21,942.14 = 21,942.14 : x
  2. Step 2: Convert to fraction form
    15,164.72/21,942.14 = 21,942.14/x
  3. Step 3: Cross multiply
    15,164.72x = 21,942.14 × 21,942.14
  4. Step 4: Simplify right side
    15,164.72x = 481,457,535.21
  5. Step 5: Solve for x
    x = 481,457,535.21/15,164.72
  6. Step 6: Final answer
    x = 31,748.53

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.