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Finding the Third Proportional to 753 and 2,031

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Solution

The third proportional to 753 and 2,031 is: 5,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    753 : 2,031 = 2,031 : x
  2. Step 2: Convert to fraction form
    753/2,031 = 2,031/x
  3. Step 3: Cross multiply
    753x = 2,031 × 2,031
  4. Step 4: Simplify right side
    753x = 4,124,961
  5. Step 5: Solve for x
    x = 4,124,961/753
  6. Step 6: Final answer
    x = 5,478.04

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.