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Finding the Third Proportional to 3,788 and 4,156

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Solution

The third proportional to 3,788 and 4,156 is: 4,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788 : 4,156 = 4,156 : x
  2. Step 2: Convert to fraction form
    3,788/4,156 = 4,156/x
  3. Step 3: Cross multiply
    3,788x = 4,156 × 4,156
  4. Step 4: Simplify right side
    3,788x = 17,272,336
  5. Step 5: Solve for x
    x = 17,272,336/3,788
  6. Step 6: Final answer
    x = 4,559.75

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.