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Finding the Third Proportional to 4,202 and 5,648.25

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Solution

The third proportional to 4,202 and 5,648.25 is: 7,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202 : 5,648.25 = 5,648.25 : x
  2. Step 2: Convert to fraction form
    4,202/5,648.25 = 5,648.25/x
  3. Step 3: Cross multiply
    4,202x = 5,648.25 × 5,648.25
  4. Step 4: Simplify right side
    4,202x = 31,902,728.06
  5. Step 5: Solve for x
    x = 31,902,728.06/4,202
  6. Step 6: Final answer
    x = 7,592.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.