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Finding the Third Proportional to 30,992 and 67,915

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Solution

The third proportional to 30,992 and 67,915 is: 148,827.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992 : 67,915 = 67,915 : x
  2. Step 2: Convert to fraction form
    30,992/67,915 = 67,915/x
  3. Step 3: Cross multiply
    30,992x = 67,915 × 67,915
  4. Step 4: Simplify right side
    30,992x = 4,612,447,225
  5. Step 5: Solve for x
    x = 4,612,447,225/30,992
  6. Step 6: Final answer
    x = 148,827.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.