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Finding the Third Proportional to 19,152 and 30,752

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Solution

The third proportional to 19,152 and 30,752 is: 49,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,152 : 30,752 = 30,752 : x
  2. Step 2: Convert to fraction form
    19,152/30,752 = 30,752/x
  3. Step 3: Cross multiply
    19,152x = 30,752 × 30,752
  4. Step 4: Simplify right side
    19,152x = 945,685,504
  5. Step 5: Solve for x
    x = 945,685,504/19,152
  6. Step 6: Final answer
    x = 49,377.90

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.