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Finding the Third Proportional to 4,747.31 and 5,202.94

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Solution

The third proportional to 4,747.31 and 5,202.94 is: 5,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.31 : 5,202.94 = 5,202.94 : x
  2. Step 2: Convert to fraction form
    4,747.31/5,202.94 = 5,202.94/x
  3. Step 3: Cross multiply
    4,747.31x = 5,202.94 × 5,202.94
  4. Step 4: Simplify right side
    4,747.31x = 27,070,558.63
  5. Step 5: Solve for x
    x = 27,070,558.63/4,747.31
  6. Step 6: Final answer
    x = 5,702.29

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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.