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Finding the Third Proportional to 10,430 and 16,163

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Solution

The third proportional to 10,430 and 16,163 is: 25,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430 : 16,163 = 16,163 : x
  2. Step 2: Convert to fraction form
    10,430/16,163 = 16,163/x
  3. Step 3: Cross multiply
    10,430x = 16,163 × 16,163
  4. Step 4: Simplify right side
    10,430x = 261,242,569
  5. Step 5: Solve for x
    x = 261,242,569/10,430
  6. Step 6: Final answer
    x = 25,047.23

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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.