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Finding the Third Proportional to 13,363 and 21,833

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Solution

The third proportional to 13,363 and 21,833 is: 35,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,363 : 21,833 = 21,833 : x
  2. Step 2: Convert to fraction form
    13,363/21,833 = 21,833/x
  3. Step 3: Cross multiply
    13,363x = 21,833 × 21,833
  4. Step 4: Simplify right side
    13,363x = 476,679,889
  5. Step 5: Solve for x
    x = 476,679,889/13,363
  6. Step 6: Final answer
    x = 35,671.62

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.