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Finding the Third Proportional to 12,729 and 27,997.50

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Solution

The third proportional to 12,729 and 27,997.50 is: 61,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729 : 27,997.50 = 27,997.50 : x
  2. Step 2: Convert to fraction form
    12,729/27,997.50 = 27,997.50/x
  3. Step 3: Cross multiply
    12,729x = 27,997.50 × 27,997.50
  4. Step 4: Simplify right side
    12,729x = 783,860,006.25
  5. Step 5: Solve for x
    x = 783,860,006.25/12,729
  6. Step 6: Final answer
    x = 61,580.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.