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Finding the Third Proportional to 12,688 and 17,208

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Solution

The third proportional to 12,688 and 17,208 is: 23,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688 : 17,208 = 17,208 : x
  2. Step 2: Convert to fraction form
    12,688/17,208 = 17,208/x
  3. Step 3: Cross multiply
    12,688x = 17,208 × 17,208
  4. Step 4: Simplify right side
    12,688x = 296,115,264
  5. Step 5: Solve for x
    x = 296,115,264/12,688
  6. Step 6: Final answer
    x = 23,338.21

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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.