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Finding the Third Proportional to 881.91 and 1,903.03

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Solution

The third proportional to 881.91 and 1,903.03 is: 4,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.91 : 1,903.03 = 1,903.03 : x
  2. Step 2: Convert to fraction form
    881.91/1,903.03 = 1,903.03/x
  3. Step 3: Cross multiply
    881.91x = 1,903.03 × 1,903.03
  4. Step 4: Simplify right side
    881.91x = 3,621,527.94
  5. Step 5: Solve for x
    x = 3,621,527.94/881.91
  6. Step 6: Final answer
    x = 4,106.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.