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Finding the Third Proportional to 33,397.50 and 72,501

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Solution

The third proportional to 33,397.50 and 72,501 is: 157,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,397.50 : 72,501 = 72,501 : x
  2. Step 2: Convert to fraction form
    33,397.50/72,501 = 72,501/x
  3. Step 3: Cross multiply
    33,397.50x = 72,501 × 72,501
  4. Step 4: Simplify right side
    33,397.50x = 5,256,395,001
  5. Step 5: Solve for x
    x = 5,256,395,001/33,397.50
  6. Step 6: Final answer
    x = 157,388.88

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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.