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Finding the Third Proportional to 10,786 and 17,152

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Solution

The third proportional to 10,786 and 17,152 is: 27,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786 : 17,152 = 17,152 : x
  2. Step 2: Convert to fraction form
    10,786/17,152 = 17,152/x
  3. Step 3: Cross multiply
    10,786x = 17,152 × 17,152
  4. Step 4: Simplify right side
    10,786x = 294,191,104
  5. Step 5: Solve for x
    x = 294,191,104/10,786
  6. Step 6: Final answer
    x = 27,275.27

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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.