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Finding the Third Proportional to 2,975.80 and 6,539.17

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Solution

The third proportional to 2,975.80 and 6,539.17 is: 14,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.80 : 6,539.17 = 6,539.17 : x
  2. Step 2: Convert to fraction form
    2,975.80/6,539.17 = 6,539.17/x
  3. Step 3: Cross multiply
    2,975.80x = 6,539.17 × 6,539.17
  4. Step 4: Simplify right side
    2,975.80x = 42,760,717.72
  5. Step 5: Solve for x
    x = 42,760,717.72/2,975.80
  6. Step 6: Final answer
    x = 14,369.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.