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Finding the Third Proportional to 34,752 and 49,800

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Solution

The third proportional to 34,752 and 49,800 is: 71,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,752 : 49,800 = 49,800 : x
  2. Step 2: Convert to fraction form
    34,752/49,800 = 49,800/x
  3. Step 3: Cross multiply
    34,752x = 49,800 × 49,800
  4. Step 4: Simplify right side
    34,752x = 2,480,040,000
  5. Step 5: Solve for x
    x = 2,480,040,000/34,752
  6. Step 6: Final answer
    x = 71,363.95

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.