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Finding the Third Proportional to 876.73 and 1,899.84

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Solution

The third proportional to 876.73 and 1,899.84 is: 4,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.73 : 1,899.84 = 1,899.84 : x
  2. Step 2: Convert to fraction form
    876.73/1,899.84 = 1,899.84/x
  3. Step 3: Cross multiply
    876.73x = 1,899.84 × 1,899.84
  4. Step 4: Simplify right side
    876.73x = 3,609,406.27
  5. Step 5: Solve for x
    x = 3,609,406.27/876.73
  6. Step 6: Final answer
    x = 4,116.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.