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Finding the Third Proportional to 30,143.25 and 63,672.75

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Solution

The third proportional to 30,143.25 and 63,672.75 is: 134,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,143.25 : 63,672.75 = 63,672.75 : x
  2. Step 2: Convert to fraction form
    30,143.25/63,672.75 = 63,672.75/x
  3. Step 3: Cross multiply
    30,143.25x = 63,672.75 × 63,672.75
  4. Step 4: Simplify right side
    30,143.25x = 4,054,219,092.56
  5. Step 5: Solve for x
    x = 4,054,219,092.56/30,143.25
  6. Step 6: Final answer
    x = 134,498.41

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.