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Finding the Third Proportional to 23,111.25 and 33,026.25

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Solution

The third proportional to 23,111.25 and 33,026.25 is: 47,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,111.25 : 33,026.25 = 33,026.25 : x
  2. Step 2: Convert to fraction form
    23,111.25/33,026.25 = 33,026.25/x
  3. Step 3: Cross multiply
    23,111.25x = 33,026.25 × 33,026.25
  4. Step 4: Simplify right side
    23,111.25x = 1,090,733,189.06
  5. Step 5: Solve for x
    x = 1,090,733,189.06/23,111.25
  6. Step 6: Final answer
    x = 47,194.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.