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Finding the Third Proportional to 10,439 and 16,157

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Solution

The third proportional to 10,439 and 16,157 is: 25,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439 : 16,157 = 16,157 : x
  2. Step 2: Convert to fraction form
    10,439/16,157 = 16,157/x
  3. Step 3: Cross multiply
    10,439x = 16,157 × 16,157
  4. Step 4: Simplify right side
    10,439x = 261,048,649
  5. Step 5: Solve for x
    x = 261,048,649/10,439
  6. Step 6: Final answer
    x = 25,007.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.