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Finding the Third Proportional to 13,502 and 21,138

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Solution

The third proportional to 13,502 and 21,138 is: 33,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502 : 21,138 = 21,138 : x
  2. Step 2: Convert to fraction form
    13,502/21,138 = 21,138/x
  3. Step 3: Cross multiply
    13,502x = 21,138 × 21,138
  4. Step 4: Simplify right side
    13,502x = 446,815,044
  5. Step 5: Solve for x
    x = 446,815,044/13,502
  6. Step 6: Final answer
    x = 33,092.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.