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Finding the Third Proportional to 17,637.75 and 21,636

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Solution

The third proportional to 17,637.75 and 21,636 is: 26,540.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.75 : 21,636 = 21,636 : x
  2. Step 2: Convert to fraction form
    17,637.75/21,636 = 21,636/x
  3. Step 3: Cross multiply
    17,637.75x = 21,636 × 21,636
  4. Step 4: Simplify right side
    17,637.75x = 468,116,496
  5. Step 5: Solve for x
    x = 468,116,496/17,637.75
  6. Step 6: Final answer
    x = 26,540.60

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These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.