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Finding the Third Proportional to 1,878 and 4,884

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Solution

The third proportional to 1,878 and 4,884 is: 12,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878 : 4,884 = 4,884 : x
  2. Step 2: Convert to fraction form
    1,878/4,884 = 4,884/x
  3. Step 3: Cross multiply
    1,878x = 4,884 × 4,884
  4. Step 4: Simplify right side
    1,878x = 23,853,456
  5. Step 5: Solve for x
    x = 23,853,456/1,878
  6. Step 6: Final answer
    x = 12,701.52

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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.