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Finding the Third Proportional to 5,780 and 13,802

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Solution

The third proportional to 5,780 and 13,802 is: 32,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780 : 13,802 = 13,802 : x
  2. Step 2: Convert to fraction form
    5,780/13,802 = 13,802/x
  3. Step 3: Cross multiply
    5,780x = 13,802 × 13,802
  4. Step 4: Simplify right side
    5,780x = 190,495,204
  5. Step 5: Solve for x
    x = 190,495,204/5,780
  6. Step 6: Final answer
    x = 32,957.65

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.