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Finding the Third Proportional to 15,921 and 33,954.75

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Solution

The third proportional to 15,921 and 33,954.75 is: 72,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,921 : 33,954.75 = 33,954.75 : x
  2. Step 2: Convert to fraction form
    15,921/33,954.75 = 33,954.75/x
  3. Step 3: Cross multiply
    15,921x = 33,954.75 × 33,954.75
  4. Step 4: Simplify right side
    15,921x = 1,152,925,047.56
  5. Step 5: Solve for x
    x = 1,152,925,047.56/15,921
  6. Step 6: Final answer
    x = 72,415.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.