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Finding the Third Proportional to 17,621 and 27,290

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Solution

The third proportional to 17,621 and 27,290 is: 42,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,621 : 27,290 = 27,290 : x
  2. Step 2: Convert to fraction form
    17,621/27,290 = 27,290/x
  3. Step 3: Cross multiply
    17,621x = 27,290 × 27,290
  4. Step 4: Simplify right side
    17,621x = 744,744,100
  5. Step 5: Solve for x
    x = 744,744,100/17,621
  6. Step 6: Final answer
    x = 42,264.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.