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Finding the Third Proportional to 1,765 and 3,875.75

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Solution

The third proportional to 1,765 and 3,875.75 is: 8,510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765 : 3,875.75 = 3,875.75 : x
  2. Step 2: Convert to fraction form
    1,765/3,875.75 = 3,875.75/x
  3. Step 3: Cross multiply
    1,765x = 3,875.75 × 3,875.75
  4. Step 4: Simplify right side
    1,765x = 15,021,438.06
  5. Step 5: Solve for x
    x = 15,021,438.06/1,765
  6. Step 6: Final answer
    x = 8,510.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.