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Finding the Third Proportional to 10,672.30 and 16,201.74

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Solution

The third proportional to 10,672.30 and 16,201.74 is: 24,596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.30 : 16,201.74 = 16,201.74 : x
  2. Step 2: Convert to fraction form
    10,672.30/16,201.74 = 16,201.74/x
  3. Step 3: Cross multiply
    10,672.30x = 16,201.74 × 16,201.74
  4. Step 4: Simplify right side
    10,672.30x = 262,496,386.62
  5. Step 5: Solve for x
    x = 262,496,386.62/10,672.30
  6. Step 6: Final answer
    x = 24,596.04

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.