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Finding the Third Proportional to 10,356 and 17,150

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Solution

The third proportional to 10,356 and 17,150 is: 28,401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356 : 17,150 = 17,150 : x
  2. Step 2: Convert to fraction form
    10,356/17,150 = 17,150/x
  3. Step 3: Cross multiply
    10,356x = 17,150 × 17,150
  4. Step 4: Simplify right side
    10,356x = 294,122,500
  5. Step 5: Solve for x
    x = 294,122,500/10,356
  6. Step 6: Final answer
    x = 28,401.17

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.