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Finding the Third Proportional to 17,621 and 25,459

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Solution

The third proportional to 17,621 and 25,459 is: 36,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,621 : 25,459 = 25,459 : x
  2. Step 2: Convert to fraction form
    17,621/25,459 = 25,459/x
  3. Step 3: Cross multiply
    17,621x = 25,459 × 25,459
  4. Step 4: Simplify right side
    17,621x = 648,160,681
  5. Step 5: Solve for x
    x = 648,160,681/17,621
  6. Step 6: Final answer
    x = 36,783.42

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.