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Finding the Third Proportional to 33,810.75 and 72,967.50

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Solution

The third proportional to 33,810.75 and 72,967.50 is: 157,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,810.75 : 72,967.50 = 72,967.50 : x
  2. Step 2: Convert to fraction form
    33,810.75/72,967.50 = 72,967.50/x
  3. Step 3: Cross multiply
    33,810.75x = 72,967.50 × 72,967.50
  4. Step 4: Simplify right side
    33,810.75x = 5,324,256,056.25
  5. Step 5: Solve for x
    x = 5,324,256,056.25/33,810.75
  6. Step 6: Final answer
    x = 157,472.28

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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.