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Finding the Third Proportional to 10,206 and 13,284

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Solution

The third proportional to 10,206 and 13,284 is: 17,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 13,284 = 13,284 : x
  2. Step 2: Convert to fraction form
    10,206/13,284 = 13,284/x
  3. Step 3: Cross multiply
    10,206x = 13,284 × 13,284
  4. Step 4: Simplify right side
    10,206x = 176,464,656
  5. Step 5: Solve for x
    x = 176,464,656/10,206
  6. Step 6: Final answer
    x = 17,290.29

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.