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Finding the Third Proportional to 7,724 and 8,372

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Solution

The third proportional to 7,724 and 8,372 is: 9,074.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724 : 8,372 = 8,372 : x
  2. Step 2: Convert to fraction form
    7,724/8,372 = 8,372/x
  3. Step 3: Cross multiply
    7,724x = 8,372 × 8,372
  4. Step 4: Simplify right side
    7,724x = 70,090,384
  5. Step 5: Solve for x
    x = 70,090,384/7,724
  6. Step 6: Final answer
    x = 9,074.36

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.