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Finding the Third Proportional to 47,828 and 97,600

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Solution

The third proportional to 47,828 and 97,600 is: 199,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,828 : 97,600 = 97,600 : x
  2. Step 2: Convert to fraction form
    47,828/97,600 = 97,600/x
  3. Step 3: Cross multiply
    47,828x = 97,600 × 97,600
  4. Step 4: Simplify right side
    47,828x = 9,525,760,000
  5. Step 5: Solve for x
    x = 9,525,760,000/47,828
  6. Step 6: Final answer
    x = 199,167.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.