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Finding the Third Proportional to 7,024 and 9,304

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Solution

The third proportional to 7,024 and 9,304 is: 12,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024 : 9,304 = 9,304 : x
  2. Step 2: Convert to fraction form
    7,024/9,304 = 9,304/x
  3. Step 3: Cross multiply
    7,024x = 9,304 × 9,304
  4. Step 4: Simplify right side
    7,024x = 86,564,416
  5. Step 5: Solve for x
    x = 86,564,416/7,024
  6. Step 6: Final answer
    x = 12,324.09

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.