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Finding the Third Proportional to 15,701 and 33,676.75

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Solution

The third proportional to 15,701 and 33,676.75 is: 72,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,701 : 33,676.75 = 33,676.75 : x
  2. Step 2: Convert to fraction form
    15,701/33,676.75 = 33,676.75/x
  3. Step 3: Cross multiply
    15,701x = 33,676.75 × 33,676.75
  4. Step 4: Simplify right side
    15,701x = 1,134,123,490.56
  5. Step 5: Solve for x
    x = 1,134,123,490.56/15,701
  6. Step 6: Final answer
    x = 72,232.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.