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Finding the Third Proportional to 29,992 and 64,592

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Solution

The third proportional to 29,992 and 64,592 is: 139,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,992 : 64,592 = 64,592 : x
  2. Step 2: Convert to fraction form
    29,992/64,592 = 64,592/x
  3. Step 3: Cross multiply
    29,992x = 64,592 × 64,592
  4. Step 4: Simplify right side
    29,992x = 4,172,126,464
  5. Step 5: Solve for x
    x = 4,172,126,464/29,992
  6. Step 6: Final answer
    x = 139,107.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.