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Finding the Third Proportional to 12,829.50 and 27,579

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Solution

The third proportional to 12,829.50 and 27,579 is: 59,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.50 : 27,579 = 27,579 : x
  2. Step 2: Convert to fraction form
    12,829.50/27,579 = 27,579/x
  3. Step 3: Cross multiply
    12,829.50x = 27,579 × 27,579
  4. Step 4: Simplify right side
    12,829.50x = 760,601,241
  5. Step 5: Solve for x
    x = 760,601,241/12,829.50
  6. Step 6: Final answer
    x = 59,285.34

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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.