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Finding the Third Proportional to 13,813 and 21,607

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Solution

The third proportional to 13,813 and 21,607 is: 33,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813 : 21,607 = 21,607 : x
  2. Step 2: Convert to fraction form
    13,813/21,607 = 21,607/x
  3. Step 3: Cross multiply
    13,813x = 21,607 × 21,607
  4. Step 4: Simplify right side
    13,813x = 466,862,449
  5. Step 5: Solve for x
    x = 466,862,449/13,813
  6. Step 6: Final answer
    x = 33,798.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.