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Finding the Third Proportional to 33,912 and 72,515.25

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Solution

The third proportional to 33,912 and 72,515.25 is: 155,061.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,912 : 72,515.25 = 72,515.25 : x
  2. Step 2: Convert to fraction form
    33,912/72,515.25 = 72,515.25/x
  3. Step 3: Cross multiply
    33,912x = 72,515.25 × 72,515.25
  4. Step 4: Simplify right side
    33,912x = 5,258,461,482.56
  5. Step 5: Solve for x
    x = 5,258,461,482.56/33,912
  6. Step 6: Final answer
    x = 155,061.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.