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Finding the Third Proportional to 2,850 and 3,765

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Solution

The third proportional to 2,850 and 3,765 is: 4,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850 : 3,765 = 3,765 : x
  2. Step 2: Convert to fraction form
    2,850/3,765 = 3,765/x
  3. Step 3: Cross multiply
    2,850x = 3,765 × 3,765
  4. Step 4: Simplify right side
    2,850x = 14,175,225
  5. Step 5: Solve for x
    x = 14,175,225/2,850
  6. Step 6: Final answer
    x = 4,973.76

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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.