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Finding the Third Proportional to 7,330 and 9,770

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Solution

The third proportional to 7,330 and 9,770 is: 13,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,330 : 9,770 = 9,770 : x
  2. Step 2: Convert to fraction form
    7,330/9,770 = 9,770/x
  3. Step 3: Cross multiply
    7,330x = 9,770 × 9,770
  4. Step 4: Simplify right side
    7,330x = 95,452,900
  5. Step 5: Solve for x
    x = 95,452,900/7,330
  6. Step 6: Final answer
    x = 13,022.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.