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Finding the Third Proportional to 30,084 and 47,679

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Solution

The third proportional to 30,084 and 47,679 is: 75,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084 : 47,679 = 47,679 : x
  2. Step 2: Convert to fraction form
    30,084/47,679 = 47,679/x
  3. Step 3: Cross multiply
    30,084x = 47,679 × 47,679
  4. Step 4: Simplify right side
    30,084x = 2,273,287,041
  5. Step 5: Solve for x
    x = 2,273,287,041/30,084
  6. Step 6: Final answer
    x = 75,564.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.