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Finding the Third Proportional to 22,511.25 and 35,852.63

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Solution

The third proportional to 22,511.25 and 35,852.63 is: 57,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,511.25 : 35,852.63 = 35,852.63 : x
  2. Step 2: Convert to fraction form
    22,511.25/35,852.63 = 35,852.63/x
  3. Step 3: Cross multiply
    22,511.25x = 35,852.63 × 35,852.63
  4. Step 4: Simplify right side
    22,511.25x = 1,285,410,719.39
  5. Step 5: Solve for x
    x = 1,285,410,719.39/22,511.25
  6. Step 6: Final answer
    x = 57,100.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.