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Finding the Third Proportional to 23,445 and 33,014.25

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Solution

The third proportional to 23,445 and 33,014.25 is: 46,489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,445 : 33,014.25 = 33,014.25 : x
  2. Step 2: Convert to fraction form
    23,445/33,014.25 = 33,014.25/x
  3. Step 3: Cross multiply
    23,445x = 33,014.25 × 33,014.25
  4. Step 4: Simplify right side
    23,445x = 1,089,940,703.06
  5. Step 5: Solve for x
    x = 1,089,940,703.06/23,445
  6. Step 6: Final answer
    x = 46,489.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.