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Finding the Third Proportional to 39,030.75 and 84,575.25

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Solution

The third proportional to 39,030.75 and 84,575.25 is: 183,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,030.75 : 84,575.25 = 84,575.25 : x
  2. Step 2: Convert to fraction form
    39,030.75/84,575.25 = 84,575.25/x
  3. Step 3: Cross multiply
    39,030.75x = 84,575.25 × 84,575.25
  4. Step 4: Simplify right side
    39,030.75x = 7,152,972,912.56
  5. Step 5: Solve for x
    x = 7,152,972,912.56/39,030.75
  6. Step 6: Final answer
    x = 183,265.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.