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Finding the Third Proportional to 2,076 and 3,860

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Solution

The third proportional to 2,076 and 3,860 is: 7,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076 : 3,860 = 3,860 : x
  2. Step 2: Convert to fraction form
    2,076/3,860 = 3,860/x
  3. Step 3: Cross multiply
    2,076x = 3,860 × 3,860
  4. Step 4: Simplify right side
    2,076x = 14,899,600
  5. Step 5: Solve for x
    x = 14,899,600/2,076
  6. Step 6: Final answer
    x = 7,177.07

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.