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Finding the Third Proportional to 17,030 and 18,686

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Solution

The third proportional to 17,030 and 18,686 is: 20,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,030 : 18,686 = 18,686 : x
  2. Step 2: Convert to fraction form
    17,030/18,686 = 18,686/x
  3. Step 3: Cross multiply
    17,030x = 18,686 × 18,686
  4. Step 4: Simplify right side
    17,030x = 349,166,596
  5. Step 5: Solve for x
    x = 349,166,596/17,030
  6. Step 6: Final answer
    x = 20,503.03

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.