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Finding the Third Proportional to 33,412.50 and 72,048

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Solution

The third proportional to 33,412.50 and 72,048 is: 155,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,412.50 : 72,048 = 72,048 : x
  2. Step 2: Convert to fraction form
    33,412.50/72,048 = 72,048/x
  3. Step 3: Cross multiply
    33,412.50x = 72,048 × 72,048
  4. Step 4: Simplify right side
    33,412.50x = 5,190,914,304
  5. Step 5: Solve for x
    x = 5,190,914,304/33,412.50
  6. Step 6: Final answer
    x = 155,358.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.