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Finding the Third Proportional to 874.97 and 1,903.72

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Solution

The third proportional to 874.97 and 1,903.72 is: 4,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.97 : 1,903.72 = 1,903.72 : x
  2. Step 2: Convert to fraction form
    874.97/1,903.72 = 1,903.72/x
  3. Step 3: Cross multiply
    874.97x = 1,903.72 × 1,903.72
  4. Step 4: Simplify right side
    874.97x = 3,624,140.43
  5. Step 5: Solve for x
    x = 3,624,140.43/874.97
  6. Step 6: Final answer
    x = 4,142.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.