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Finding the Third Proportional to 12,834 and 27,604

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Solution

The third proportional to 12,834 and 27,604 is: 59,372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834 : 27,604 = 27,604 : x
  2. Step 2: Convert to fraction form
    12,834/27,604 = 27,604/x
  3. Step 3: Cross multiply
    12,834x = 27,604 × 27,604
  4. Step 4: Simplify right side
    12,834x = 761,980,816
  5. Step 5: Solve for x
    x = 761,980,816/12,834
  6. Step 6: Final answer
    x = 59,372.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.