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Finding the Third Proportional to 14,732 and 19,116

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Solution

The third proportional to 14,732 and 19,116 is: 24,804.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,732 : 19,116 = 19,116 : x
  2. Step 2: Convert to fraction form
    14,732/19,116 = 19,116/x
  3. Step 3: Cross multiply
    14,732x = 19,116 × 19,116
  4. Step 4: Simplify right side
    14,732x = 365,421,456
  5. Step 5: Solve for x
    x = 365,421,456/14,732
  6. Step 6: Final answer
    x = 24,804.61

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.