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Finding the Third Proportional to 8,322 and 8,970

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Solution

The third proportional to 8,322 and 8,970 is: 9,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322 : 8,970 = 8,970 : x
  2. Step 2: Convert to fraction form
    8,322/8,970 = 8,970/x
  3. Step 3: Cross multiply
    8,322x = 8,970 × 8,970
  4. Step 4: Simplify right side
    8,322x = 80,460,900
  5. Step 5: Solve for x
    x = 80,460,900/8,322
  6. Step 6: Final answer
    x = 9,668.46

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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.