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Finding the Third Proportional to 1,838 and 4,775

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Solution

The third proportional to 1,838 and 4,775 is: 12,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838 : 4,775 = 4,775 : x
  2. Step 2: Convert to fraction form
    1,838/4,775 = 4,775/x
  3. Step 3: Cross multiply
    1,838x = 4,775 × 4,775
  4. Step 4: Simplify right side
    1,838x = 22,800,625
  5. Step 5: Solve for x
    x = 22,800,625/1,838
  6. Step 6: Final answer
    x = 12,405.13

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.