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Finding the Third Proportional to 33,306.75 and 72,488.25

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Solution

The third proportional to 33,306.75 and 72,488.25 is: 157,762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,306.75 : 72,488.25 = 72,488.25 : x
  2. Step 2: Convert to fraction form
    33,306.75/72,488.25 = 72,488.25/x
  3. Step 3: Cross multiply
    33,306.75x = 72,488.25 × 72,488.25
  4. Step 4: Simplify right side
    33,306.75x = 5,254,546,388.06
  5. Step 5: Solve for x
    x = 5,254,546,388.06/33,306.75
  6. Step 6: Final answer
    x = 157,762.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.