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Finding the Third Proportional to 44,435.75 and 72,192.50

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Solution

The third proportional to 44,435.75 and 72,192.50 is: 117,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,435.75 : 72,192.50 = 72,192.50 : x
  2. Step 2: Convert to fraction form
    44,435.75/72,192.50 = 72,192.50/x
  3. Step 3: Cross multiply
    44,435.75x = 72,192.50 × 72,192.50
  4. Step 4: Simplify right side
    44,435.75x = 5,211,757,056.25
  5. Step 5: Solve for x
    x = 5,211,757,056.25/44,435.75
  6. Step 6: Final answer
    x = 117,287.48

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.