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Finding the Third Proportional to 30,103.50 and 35,571

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Solution

The third proportional to 30,103.50 and 35,571 is: 42,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,103.50 : 35,571 = 35,571 : x
  2. Step 2: Convert to fraction form
    30,103.50/35,571 = 35,571/x
  3. Step 3: Cross multiply
    30,103.50x = 35,571 × 35,571
  4. Step 4: Simplify right side
    30,103.50x = 1,265,296,041
  5. Step 5: Solve for x
    x = 1,265,296,041/30,103.50
  6. Step 6: Final answer
    x = 42,031.53

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.