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Finding the Third Proportional to 19,692 and 30,152

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Solution

The third proportional to 19,692 and 30,152 is: 46,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692 : 30,152 = 30,152 : x
  2. Step 2: Convert to fraction form
    19,692/30,152 = 30,152/x
  3. Step 3: Cross multiply
    19,692x = 30,152 × 30,152
  4. Step 4: Simplify right side
    19,692x = 909,143,104
  5. Step 5: Solve for x
    x = 909,143,104/19,692
  6. Step 6: Final answer
    x = 46,168.14

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.