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Finding the Third Proportional to 33,061.25 and 78,032.25

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Solution

The third proportional to 33,061.25 and 78,032.25 is: 184,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,061.25 : 78,032.25 = 78,032.25 : x
  2. Step 2: Convert to fraction form
    33,061.25/78,032.25 = 78,032.25/x
  3. Step 3: Cross multiply
    33,061.25x = 78,032.25 × 78,032.25
  4. Step 4: Simplify right side
    33,061.25x = 6,089,032,040.06
  5. Step 5: Solve for x
    x = 6,089,032,040.06/33,061.25
  6. Step 6: Final answer
    x = 184,174.28

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.