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Finding the Third Proportional to 12,672 and 19,084

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Solution

The third proportional to 12,672 and 19,084 is: 28,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,672 : 19,084 = 19,084 : x
  2. Step 2: Convert to fraction form
    12,672/19,084 = 19,084/x
  3. Step 3: Cross multiply
    12,672x = 19,084 × 19,084
  4. Step 4: Simplify right side
    12,672x = 364,199,056
  5. Step 5: Solve for x
    x = 364,199,056/12,672
  6. Step 6: Final answer
    x = 28,740.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.