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Finding the Third Proportional to 30,620 and 64,880

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Solution

The third proportional to 30,620 and 64,880 is: 137,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,620 : 64,880 = 64,880 : x
  2. Step 2: Convert to fraction form
    30,620/64,880 = 64,880/x
  3. Step 3: Cross multiply
    30,620x = 64,880 × 64,880
  4. Step 4: Simplify right side
    30,620x = 4,209,414,400
  5. Step 5: Solve for x
    x = 4,209,414,400/30,620
  6. Step 6: Final answer
    x = 137,472.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.