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Finding the Third Proportional to 38,477.75 and 61,469.75

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Solution

The third proportional to 38,477.75 and 61,469.75 is: 98,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477.75 : 61,469.75 = 61,469.75 : x
  2. Step 2: Convert to fraction form
    38,477.75/61,469.75 = 61,469.75/x
  3. Step 3: Cross multiply
    38,477.75x = 61,469.75 × 61,469.75
  4. Step 4: Simplify right side
    38,477.75x = 3,778,530,165.06
  5. Step 5: Solve for x
    x = 3,778,530,165.06/38,477.75
  6. Step 6: Final answer
    x = 98,200.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.