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Finding the Third Proportional to 13,306 and 21,093

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Solution

The third proportional to 13,306 and 21,093 is: 33,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,306 : 21,093 = 21,093 : x
  2. Step 2: Convert to fraction form
    13,306/21,093 = 21,093/x
  3. Step 3: Cross multiply
    13,306x = 21,093 × 21,093
  4. Step 4: Simplify right side
    13,306x = 444,914,649
  5. Step 5: Solve for x
    x = 444,914,649/13,306
  6. Step 6: Final answer
    x = 33,437.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.