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Finding the Third Proportional to 10,549 and 16,462

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Solution

The third proportional to 10,549 and 16,462 is: 25,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549 : 16,462 = 16,462 : x
  2. Step 2: Convert to fraction form
    10,549/16,462 = 16,462/x
  3. Step 3: Cross multiply
    10,549x = 16,462 × 16,462
  4. Step 4: Simplify right side
    10,549x = 270,997,444
  5. Step 5: Solve for x
    x = 270,997,444/10,549
  6. Step 6: Final answer
    x = 25,689.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.