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Finding the Third Proportional to 17,621 and 23,491

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Solution

The third proportional to 17,621 and 23,491 is: 31,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,621 : 23,491 = 23,491 : x
  2. Step 2: Convert to fraction form
    17,621/23,491 = 23,491/x
  3. Step 3: Cross multiply
    17,621x = 23,491 × 23,491
  4. Step 4: Simplify right side
    17,621x = 551,827,081
  5. Step 5: Solve for x
    x = 551,827,081/17,621
  6. Step 6: Final answer
    x = 31,316.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.