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Finding the Third Proportional to 12,753.38 and 27,050.63

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Solution

The third proportional to 12,753.38 and 27,050.63 is: 57,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.38 : 27,050.63 = 27,050.63 : x
  2. Step 2: Convert to fraction form
    12,753.38/27,050.63 = 27,050.63/x
  3. Step 3: Cross multiply
    12,753.38x = 27,050.63 × 27,050.63
  4. Step 4: Simplify right side
    12,753.38x = 731,736,312.89
  5. Step 5: Solve for x
    x = 731,736,312.89/12,753.38
  6. Step 6: Final answer
    x = 57,375.90

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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.