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Finding the Third Proportional to 15,830.44 and 34,404.75

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Solution

The third proportional to 15,830.44 and 34,404.75 is: 74,772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.44 : 34,404.75 = 34,404.75 : x
  2. Step 2: Convert to fraction form
    15,830.44/34,404.75 = 34,404.75/x
  3. Step 3: Cross multiply
    15,830.44x = 34,404.75 × 34,404.75
  4. Step 4: Simplify right side
    15,830.44x = 1,183,686,822.56
  5. Step 5: Solve for x
    x = 1,183,686,822.56/15,830.44
  6. Step 6: Final answer
    x = 74,772.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.