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Finding the Third Proportional to 42,369.75 and 65,645.44

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Solution

The third proportional to 42,369.75 and 65,645.44 is: 101,707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,369.75 : 65,645.44 = 65,645.44 : x
  2. Step 2: Convert to fraction form
    42,369.75/65,645.44 = 65,645.44/x
  3. Step 3: Cross multiply
    42,369.75x = 65,645.44 × 65,645.44
  4. Step 4: Simplify right side
    42,369.75x = 4,309,323,464.57
  5. Step 5: Solve for x
    x = 4,309,323,464.57/42,369.75
  6. Step 6: Final answer
    x = 101,707.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.