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Finding the Third Proportional to 30,754.69 and 47,515.99

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Solution

The third proportional to 30,754.69 and 47,515.99 is: 73,412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,754.69 : 47,515.99 = 47,515.99 : x
  2. Step 2: Convert to fraction form
    30,754.69/47,515.99 = 47,515.99/x
  3. Step 3: Cross multiply
    30,754.69x = 47,515.99 × 47,515.99
  4. Step 4: Simplify right side
    30,754.69x = 2,257,769,513.56
  5. Step 5: Solve for x
    x = 2,257,769,513.56/30,754.69
  6. Step 6: Final answer
    x = 73,412.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.