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Finding the Third Proportional to 1,878 and 2,352

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Solution

The third proportional to 1,878 and 2,352 is: 2,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878 : 2,352 = 2,352 : x
  2. Step 2: Convert to fraction form
    1,878/2,352 = 2,352/x
  3. Step 3: Cross multiply
    1,878x = 2,352 × 2,352
  4. Step 4: Simplify right side
    1,878x = 5,531,904
  5. Step 5: Solve for x
    x = 5,531,904/1,878
  6. Step 6: Final answer
    x = 2,945.64

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.