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Finding the Third Proportional to 3,793 and 4,153

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Solution

The third proportional to 3,793 and 4,153 is: 4,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793 : 4,153 = 4,153 : x
  2. Step 2: Convert to fraction form
    3,793/4,153 = 4,153/x
  3. Step 3: Cross multiply
    3,793x = 4,153 × 4,153
  4. Step 4: Simplify right side
    3,793x = 17,247,409
  5. Step 5: Solve for x
    x = 17,247,409/3,793
  6. Step 6: Final answer
    x = 4,547.17

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.