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Finding the Third Proportional to 30,456 and 64,245

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Solution

The third proportional to 30,456 and 64,245 is: 135,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456 : 64,245 = 64,245 : x
  2. Step 2: Convert to fraction form
    30,456/64,245 = 64,245/x
  3. Step 3: Cross multiply
    30,456x = 64,245 × 64,245
  4. Step 4: Simplify right side
    30,456x = 4,127,420,025
  5. Step 5: Solve for x
    x = 4,127,420,025/30,456
  6. Step 6: Final answer
    x = 135,520.75

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Why These Related Problems?

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