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Finding the Third Proportional to 11,700.38 and 26,874.94

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Solution

The third proportional to 11,700.38 and 26,874.94 is: 61,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.38 : 26,874.94 = 26,874.94 : x
  2. Step 2: Convert to fraction form
    11,700.38/26,874.94 = 26,874.94/x
  3. Step 3: Cross multiply
    11,700.38x = 26,874.94 × 26,874.94
  4. Step 4: Simplify right side
    11,700.38x = 722,262,265.63
  5. Step 5: Solve for x
    x = 722,262,265.63/11,700.38
  6. Step 6: Final answer
    x = 61,729.84

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.