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Finding the Third Proportional to 30,004 and 47,686

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Solution

The third proportional to 30,004 and 47,686 is: 75,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,004 : 47,686 = 47,686 : x
  2. Step 2: Convert to fraction form
    30,004/47,686 = 47,686/x
  3. Step 3: Cross multiply
    30,004x = 47,686 × 47,686
  4. Step 4: Simplify right side
    30,004x = 2,273,954,596
  5. Step 5: Solve for x
    x = 2,273,954,596/30,004
  6. Step 6: Final answer
    x = 75,788.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.