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Finding the Third Proportional to 29,984.50 and 62,384

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Solution

The third proportional to 29,984.50 and 62,384 is: 129,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,984.50 : 62,384 = 62,384 : x
  2. Step 2: Convert to fraction form
    29,984.50/62,384 = 62,384/x
  3. Step 3: Cross multiply
    29,984.50x = 62,384 × 62,384
  4. Step 4: Simplify right side
    29,984.50x = 3,891,763,456
  5. Step 5: Solve for x
    x = 3,891,763,456/29,984.50
  6. Step 6: Final answer
    x = 129,792.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.