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Finding the Third Proportional to 30,780 and 67,104

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Solution

The third proportional to 30,780 and 67,104 is: 146,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780 : 67,104 = 67,104 : x
  2. Step 2: Convert to fraction form
    30,780/67,104 = 67,104/x
  3. Step 3: Cross multiply
    30,780x = 67,104 × 67,104
  4. Step 4: Simplify right side
    30,780x = 4,502,946,816
  5. Step 5: Solve for x
    x = 4,502,946,816/30,780
  6. Step 6: Final answer
    x = 146,294.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.