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Finding the Third Proportional to 5,153 and 5,801

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Solution

The third proportional to 5,153 and 5,801 is: 6,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153 : 5,801 = 5,801 : x
  2. Step 2: Convert to fraction form
    5,153/5,801 = 5,801/x
  3. Step 3: Cross multiply
    5,153x = 5,801 × 5,801
  4. Step 4: Simplify right side
    5,153x = 33,651,601
  5. Step 5: Solve for x
    x = 33,651,601/5,153
  6. Step 6: Final answer
    x = 6,530.49

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.