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Finding the Third Proportional to 57,021.75 and 89,448.75

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Solution

The third proportional to 57,021.75 and 89,448.75 is: 140,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,021.75 : 89,448.75 = 89,448.75 : x
  2. Step 2: Convert to fraction form
    57,021.75/89,448.75 = 89,448.75/x
  3. Step 3: Cross multiply
    57,021.75x = 89,448.75 × 89,448.75
  4. Step 4: Simplify right side
    57,021.75x = 8,001,078,876.56
  5. Step 5: Solve for x
    x = 8,001,078,876.56/57,021.75
  6. Step 6: Final answer
    x = 140,316.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.