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Finding the Third Proportional to 19,176.75 and 39,902.63

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Solution

The third proportional to 19,176.75 and 39,902.63 is: 83,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,176.75 : 39,902.63 = 39,902.63 : x
  2. Step 2: Convert to fraction form
    19,176.75/39,902.63 = 39,902.63/x
  3. Step 3: Cross multiply
    19,176.75x = 39,902.63 × 39,902.63
  4. Step 4: Simplify right side
    19,176.75x = 1,592,219,481.89
  5. Step 5: Solve for x
    x = 1,592,219,481.89/19,176.75
  6. Step 6: Final answer
    x = 83,028.64

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.