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Finding the Third Proportional to 39,168.75 and 57,077.75

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Solution

The third proportional to 39,168.75 and 57,077.75 is: 83,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,168.75 : 57,077.75 = 57,077.75 : x
  2. Step 2: Convert to fraction form
    39,168.75/57,077.75 = 57,077.75/x
  3. Step 3: Cross multiply
    39,168.75x = 57,077.75 × 57,077.75
  4. Step 4: Simplify right side
    39,168.75x = 3,257,869,545.06
  5. Step 5: Solve for x
    x = 3,257,869,545.06/39,168.75
  6. Step 6: Final answer
    x = 83,175.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.