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Finding the Third Proportional to 15,852.94 and 33,473.25

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Solution

The third proportional to 15,852.94 and 33,473.25 is: 70,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.94 : 33,473.25 = 33,473.25 : x
  2. Step 2: Convert to fraction form
    15,852.94/33,473.25 = 33,473.25/x
  3. Step 3: Cross multiply
    15,852.94x = 33,473.25 × 33,473.25
  4. Step 4: Simplify right side
    15,852.94x = 1,120,458,465.56
  5. Step 5: Solve for x
    x = 1,120,458,465.56/15,852.94
  6. Step 6: Final answer
    x = 70,678.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.