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Finding the Third Proportional to 5,202 and 7,799.63

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Solution

The third proportional to 5,202 and 7,799.63 is: 11,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202 : 7,799.63 = 7,799.63 : x
  2. Step 2: Convert to fraction form
    5,202/7,799.63 = 7,799.63/x
  3. Step 3: Cross multiply
    5,202x = 7,799.63 × 7,799.63
  4. Step 4: Simplify right side
    5,202x = 60,834,150.14
  5. Step 5: Solve for x
    x = 60,834,150.14/5,202
  6. Step 6: Final answer
    x = 11,694.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.