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Finding the Third Proportional to 3,326.63 and 7,697.25

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Solution

The third proportional to 3,326.63 and 7,697.25 is: 17,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,326.63 : 7,697.25 = 7,697.25 : x
  2. Step 2: Convert to fraction form
    3,326.63/7,697.25 = 7,697.25/x
  3. Step 3: Cross multiply
    3,326.63x = 7,697.25 × 7,697.25
  4. Step 4: Simplify right side
    3,326.63x = 59,247,657.56
  5. Step 5: Solve for x
    x = 59,247,657.56/3,326.63
  6. Step 6: Final answer
    x = 17,810.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.