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Finding the Third Proportional to 14,968 and 19,084

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Solution

The third proportional to 14,968 and 19,084 is: 24,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,968 : 19,084 = 19,084 : x
  2. Step 2: Convert to fraction form
    14,968/19,084 = 19,084/x
  3. Step 3: Cross multiply
    14,968x = 19,084 × 19,084
  4. Step 4: Simplify right side
    14,968x = 364,199,056
  5. Step 5: Solve for x
    x = 364,199,056/14,968
  6. Step 6: Final answer
    x = 24,331.85

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.