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Finding the Third Proportional to 2,710 and 5,765

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Solution

The third proportional to 2,710 and 5,765 is: 12,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710 : 5,765 = 5,765 : x
  2. Step 2: Convert to fraction form
    2,710/5,765 = 5,765/x
  3. Step 3: Cross multiply
    2,710x = 5,765 × 5,765
  4. Step 4: Simplify right side
    2,710x = 33,235,225
  5. Step 5: Solve for x
    x = 33,235,225/2,710
  6. Step 6: Final answer
    x = 12,263.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.