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Finding the Third Proportional to 7,224 and 9,765

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Solution

The third proportional to 7,224 and 9,765 is: 13,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224 : 9,765 = 9,765 : x
  2. Step 2: Convert to fraction form
    7,224/9,765 = 9,765/x
  3. Step 3: Cross multiply
    7,224x = 9,765 × 9,765
  4. Step 4: Simplify right side
    7,224x = 95,355,225
  5. Step 5: Solve for x
    x = 95,355,225/7,224
  6. Step 6: Final answer
    x = 13,199.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.