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Finding the Third Proportional to 19,200.38 and 25,884.56

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Solution

The third proportional to 19,200.38 and 25,884.56 is: 34,895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200.38 : 25,884.56 = 25,884.56 : x
  2. Step 2: Convert to fraction form
    19,200.38/25,884.56 = 25,884.56/x
  3. Step 3: Cross multiply
    19,200.38x = 25,884.56 × 25,884.56
  4. Step 4: Simplify right side
    19,200.38x = 670,010,575.82
  5. Step 5: Solve for x
    x = 670,010,575.82/19,200.38
  6. Step 6: Final answer
    x = 34,895.70

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.