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Finding the Third Proportional to 33,010.03 and 72,068.06

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Solution

The third proportional to 33,010.03 and 72,068.06 is: 157,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,010.03 : 72,068.06 = 72,068.06 : x
  2. Step 2: Convert to fraction form
    33,010.03/72,068.06 = 72,068.06/x
  3. Step 3: Cross multiply
    33,010.03x = 72,068.06 × 72,068.06
  4. Step 4: Simplify right side
    33,010.03x = 5,193,805,632.50
  5. Step 5: Solve for x
    x = 5,193,805,632.50/33,010.03
  6. Step 6: Final answer
    x = 157,340.22

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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.