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Finding the Third Proportional to 30,739.88 and 63,396.38

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Solution

The third proportional to 30,739.88 and 63,396.38 is: 130,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,739.88 : 63,396.38 = 63,396.38 : x
  2. Step 2: Convert to fraction form
    30,739.88/63,396.38 = 63,396.38/x
  3. Step 3: Cross multiply
    30,739.88x = 63,396.38 × 63,396.38
  4. Step 4: Simplify right side
    30,739.88x = 4,019,100,363.14
  5. Step 5: Solve for x
    x = 4,019,100,363.14/30,739.88
  6. Step 6: Final answer
    x = 130,745.50

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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.