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Finding the Third Proportional to 30,338.44 and 47,487.94

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Solution

The third proportional to 30,338.44 and 47,487.94 is: 74,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338.44 : 47,487.94 = 47,487.94 : x
  2. Step 2: Convert to fraction form
    30,338.44/47,487.94 = 47,487.94/x
  3. Step 3: Cross multiply
    30,338.44x = 47,487.94 × 47,487.94
  4. Step 4: Simplify right side
    30,338.44x = 2,255,104,208.00
  5. Step 5: Solve for x
    x = 2,255,104,208.00/30,338.44
  6. Step 6: Final answer
    x = 74,331.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.