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Finding the Third Proportional to 10,259 and 16,361

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Solution

The third proportional to 10,259 and 16,361 is: 26,092.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259 : 16,361 = 16,361 : x
  2. Step 2: Convert to fraction form
    10,259/16,361 = 16,361/x
  3. Step 3: Cross multiply
    10,259x = 16,361 × 16,361
  4. Step 4: Simplify right side
    10,259x = 267,682,321
  5. Step 5: Solve for x
    x = 267,682,321/10,259
  6. Step 6: Final answer
    x = 26,092.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.