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Finding the Third Proportional to 2,031.50 and 4,411

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Solution

The third proportional to 2,031.50 and 4,411 is: 9,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.50 : 4,411 = 4,411 : x
  2. Step 2: Convert to fraction form
    2,031.50/4,411 = 4,411/x
  3. Step 3: Cross multiply
    2,031.50x = 4,411 × 4,411
  4. Step 4: Simplify right side
    2,031.50x = 19,456,921
  5. Step 5: Solve for x
    x = 19,456,921/2,031.50
  6. Step 6: Final answer
    x = 9,577.61

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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.