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Finding the Third Proportional to 30,680 and 62,650

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Solution

The third proportional to 30,680 and 62,650 is: 127,934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,680 : 62,650 = 62,650 : x
  2. Step 2: Convert to fraction form
    30,680/62,650 = 62,650/x
  3. Step 3: Cross multiply
    30,680x = 62,650 × 62,650
  4. Step 4: Simplify right side
    30,680x = 3,925,022,500
  5. Step 5: Solve for x
    x = 3,925,022,500/30,680
  6. Step 6: Final answer
    x = 127,934.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.