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Finding the Third Proportional to 876.87 and 1,918.90

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Solution

The third proportional to 876.87 and 1,918.90 is: 4,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.87 : 1,918.90 = 1,918.90 : x
  2. Step 2: Convert to fraction form
    876.87/1,918.90 = 1,918.90/x
  3. Step 3: Cross multiply
    876.87x = 1,918.90 × 1,918.90
  4. Step 4: Simplify right side
    876.87x = 3,682,171.21
  5. Step 5: Solve for x
    x = 3,682,171.21/876.87
  6. Step 6: Final answer
    x = 4,199.23

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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.