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Finding the Third Proportional to 32,863 and 51,485

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Solution

The third proportional to 32,863 and 51,485 is: 80,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,863 : 51,485 = 51,485 : x
  2. Step 2: Convert to fraction form
    32,863/51,485 = 51,485/x
  3. Step 3: Cross multiply
    32,863x = 51,485 × 51,485
  4. Step 4: Simplify right side
    32,863x = 2,650,705,225
  5. Step 5: Solve for x
    x = 2,650,705,225/32,863
  6. Step 6: Final answer
    x = 80,659.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.