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Finding the Third Proportional to 6,944 and 18,752

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Solution

The third proportional to 6,944 and 18,752 is: 50,639.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944 : 18,752 = 18,752 : x
  2. Step 2: Convert to fraction form
    6,944/18,752 = 18,752/x
  3. Step 3: Cross multiply
    6,944x = 18,752 × 18,752
  4. Step 4: Simplify right side
    6,944x = 351,637,504
  5. Step 5: Solve for x
    x = 351,637,504/6,944
  6. Step 6: Final answer
    x = 50,639.04

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.