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Finding the Third Proportional to 7,577.44 and 17,698.50

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Solution

The third proportional to 7,577.44 and 17,698.50 is: 41,338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.44 : 17,698.50 = 17,698.50 : x
  2. Step 2: Convert to fraction form
    7,577.44/17,698.50 = 17,698.50/x
  3. Step 3: Cross multiply
    7,577.44x = 17,698.50 × 17,698.50
  4. Step 4: Simplify right side
    7,577.44x = 313,236,902.25
  5. Step 5: Solve for x
    x = 313,236,902.25/7,577.44
  6. Step 6: Final answer
    x = 41,338.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.