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Finding the Third Proportional to 13,208 and 21,108

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Solution

The third proportional to 13,208 and 21,108 is: 33,733.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208 : 21,108 = 21,108 : x
  2. Step 2: Convert to fraction form
    13,208/21,108 = 21,108/x
  3. Step 3: Cross multiply
    13,208x = 21,108 × 21,108
  4. Step 4: Simplify right side
    13,208x = 445,547,664
  5. Step 5: Solve for x
    x = 445,547,664/13,208
  6. Step 6: Final answer
    x = 33,733.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.