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Finding the Third Proportional to 30,274.50 and 39,306

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Solution

The third proportional to 30,274.50 and 39,306 is: 51,031.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,274.50 : 39,306 = 39,306 : x
  2. Step 2: Convert to fraction form
    30,274.50/39,306 = 39,306/x
  3. Step 3: Cross multiply
    30,274.50x = 39,306 × 39,306
  4. Step 4: Simplify right side
    30,274.50x = 1,544,961,636
  5. Step 5: Solve for x
    x = 1,544,961,636/30,274.50
  6. Step 6: Final answer
    x = 51,031.78

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.