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Finding the Third Proportional to 10,354.78 and 16,147.41

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Solution

The third proportional to 10,354.78 and 16,147.41 is: 25,180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.78 : 16,147.41 = 16,147.41 : x
  2. Step 2: Convert to fraction form
    10,354.78/16,147.41 = 16,147.41/x
  3. Step 3: Cross multiply
    10,354.78x = 16,147.41 × 16,147.41
  4. Step 4: Simplify right side
    10,354.78x = 260,738,728.60
  5. Step 5: Solve for x
    x = 260,738,728.60/10,354.78
  6. Step 6: Final answer
    x = 25,180.52

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.