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Finding the Third Proportional to 12,741 and 27,029.50

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Solution

The third proportional to 12,741 and 27,029.50 is: 57,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741 : 27,029.50 = 27,029.50 : x
  2. Step 2: Convert to fraction form
    12,741/27,029.50 = 27,029.50/x
  3. Step 3: Cross multiply
    12,741x = 27,029.50 × 27,029.50
  4. Step 4: Simplify right side
    12,741x = 730,593,870.25
  5. Step 5: Solve for x
    x = 730,593,870.25/12,741
  6. Step 6: Final answer
    x = 57,341.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.