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Finding the Third Proportional to 1,838 and 4,029

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Solution

The third proportional to 1,838 and 4,029 is: 8,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838 : 4,029 = 4,029 : x
  2. Step 2: Convert to fraction form
    1,838/4,029 = 4,029/x
  3. Step 3: Cross multiply
    1,838x = 4,029 × 4,029
  4. Step 4: Simplify right side
    1,838x = 16,232,841
  5. Step 5: Solve for x
    x = 16,232,841/1,838
  6. Step 6: Final answer
    x = 8,831.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.