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Finding the Third Proportional to 47,576 and 98,032

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Solution

The third proportional to 47,576 and 98,032 is: 201,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,576 : 98,032 = 98,032 : x
  2. Step 2: Convert to fraction form
    47,576/98,032 = 98,032/x
  3. Step 3: Cross multiply
    47,576x = 98,032 × 98,032
  4. Step 4: Simplify right side
    47,576x = 9,610,273,024
  5. Step 5: Solve for x
    x = 9,610,273,024/47,576
  6. Step 6: Final answer
    x = 201,998.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.