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Finding the Third Proportional to 30,664 and 62,624

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Solution

The third proportional to 30,664 and 62,624 is: 127,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,664 : 62,624 = 62,624 : x
  2. Step 2: Convert to fraction form
    30,664/62,624 = 62,624/x
  3. Step 3: Cross multiply
    30,664x = 62,624 × 62,624
  4. Step 4: Simplify right side
    30,664x = 3,921,765,376
  5. Step 5: Solve for x
    x = 3,921,765,376/30,664
  6. Step 6: Final answer
    x = 127,894.77

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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.