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Finding the Third Proportional to 6,577.88 and 10,202.63

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Solution

The third proportional to 6,577.88 and 10,202.63 is: 15,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.88 : 10,202.63 = 10,202.63 : x
  2. Step 2: Convert to fraction form
    6,577.88/10,202.63 = 10,202.63/x
  3. Step 3: Cross multiply
    6,577.88x = 10,202.63 × 10,202.63
  4. Step 4: Simplify right side
    6,577.88x = 104,093,556.89
  5. Step 5: Solve for x
    x = 104,093,556.89/6,577.88
  6. Step 6: Final answer
    x = 15,824.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.