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Finding the Third Proportional to 2,031.75 and 4,271.06

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Solution

The third proportional to 2,031.75 and 4,271.06 is: 8,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.75 : 4,271.06 = 4,271.06 : x
  2. Step 2: Convert to fraction form
    2,031.75/4,271.06 = 4,271.06/x
  3. Step 3: Cross multiply
    2,031.75x = 4,271.06 × 4,271.06
  4. Step 4: Simplify right side
    2,031.75x = 18,241,974.88
  5. Step 5: Solve for x
    x = 18,241,974.88/2,031.75
  6. Step 6: Final answer
    x = 8,978.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.