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Finding the Third Proportional to 5,199 and 7,346.25

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Solution

The third proportional to 5,199 and 7,346.25 is: 10,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199 : 7,346.25 = 7,346.25 : x
  2. Step 2: Convert to fraction form
    5,199/7,346.25 = 7,346.25/x
  3. Step 3: Cross multiply
    5,199x = 7,346.25 × 7,346.25
  4. Step 4: Simplify right side
    5,199x = 53,967,389.06
  5. Step 5: Solve for x
    x = 53,967,389.06/5,199
  6. Step 6: Final answer
    x = 10,380.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.