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Finding the Third Proportional to 9,671 and 21,088

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Solution

The third proportional to 9,671 and 21,088 is: 45,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671 : 21,088 = 21,088 : x
  2. Step 2: Convert to fraction form
    9,671/21,088 = 21,088/x
  3. Step 3: Cross multiply
    9,671x = 21,088 × 21,088
  4. Step 4: Simplify right side
    9,671x = 444,703,744
  5. Step 5: Solve for x
    x = 444,703,744/9,671
  6. Step 6: Final answer
    x = 45,983.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.