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Finding the Third Proportional to 3,210 and 7,723

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Solution

The third proportional to 3,210 and 7,723 is: 18,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210 : 7,723 = 7,723 : x
  2. Step 2: Convert to fraction form
    3,210/7,723 = 7,723/x
  3. Step 3: Cross multiply
    3,210x = 7,723 × 7,723
  4. Step 4: Simplify right side
    3,210x = 59,644,729
  5. Step 5: Solve for x
    x = 59,644,729/3,210
  6. Step 6: Final answer
    x = 18,580.91

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.