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Finding the Third Proportional to 46,827 and 72,425

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Solution

The third proportional to 46,827 and 72,425 is: 112,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,827 : 72,425 = 72,425 : x
  2. Step 2: Convert to fraction form
    46,827/72,425 = 72,425/x
  3. Step 3: Cross multiply
    46,827x = 72,425 × 72,425
  4. Step 4: Simplify right side
    46,827x = 5,245,380,625
  5. Step 5: Solve for x
    x = 5,245,380,625/46,827
  6. Step 6: Final answer
    x = 112,016.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.