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Finding the Third Proportional to 16,734 and 25,045

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Solution

The third proportional to 16,734 and 25,045 is: 37,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,734 : 25,045 = 25,045 : x
  2. Step 2: Convert to fraction form
    16,734/25,045 = 25,045/x
  3. Step 3: Cross multiply
    16,734x = 25,045 × 25,045
  4. Step 4: Simplify right side
    16,734x = 627,252,025
  5. Step 5: Solve for x
    x = 627,252,025/16,734
  6. Step 6: Final answer
    x = 37,483.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.