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Finding the Third Proportional to 30,696 and 63,120

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Solution

The third proportional to 30,696 and 63,120 is: 129,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696 : 63,120 = 63,120 : x
  2. Step 2: Convert to fraction form
    30,696/63,120 = 63,120/x
  3. Step 3: Cross multiply
    30,696x = 63,120 × 63,120
  4. Step 4: Simplify right side
    30,696x = 3,984,134,400
  5. Step 5: Solve for x
    x = 3,984,134,400/30,696
  6. Step 6: Final answer
    x = 129,793.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.