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Finding the Third Proportional to 4,276 and 5,765

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Solution

The third proportional to 4,276 and 5,765 is: 7,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276 : 5,765 = 5,765 : x
  2. Step 2: Convert to fraction form
    4,276/5,765 = 5,765/x
  3. Step 3: Cross multiply
    4,276x = 5,765 × 5,765
  4. Step 4: Simplify right side
    4,276x = 33,235,225
  5. Step 5: Solve for x
    x = 33,235,225/4,276
  6. Step 6: Final answer
    x = 7,772.50

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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.