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Finding the Third Proportional to 17,100 and 23,196

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Solution

The third proportional to 17,100 and 23,196 is: 31,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100 : 23,196 = 23,196 : x
  2. Step 2: Convert to fraction form
    17,100/23,196 = 23,196/x
  3. Step 3: Cross multiply
    17,100x = 23,196 × 23,196
  4. Step 4: Simplify right side
    17,100x = 538,054,416
  5. Step 5: Solve for x
    x = 538,054,416/17,100
  6. Step 6: Final answer
    x = 31,465.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.