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Finding the Third Proportional to 3,221.65 and 7,527.30

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Solution

The third proportional to 3,221.65 and 7,527.30 is: 17,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.65 : 7,527.30 = 7,527.30 : x
  2. Step 2: Convert to fraction form
    3,221.65/7,527.30 = 7,527.30/x
  3. Step 3: Cross multiply
    3,221.65x = 7,527.30 × 7,527.30
  4. Step 4: Simplify right side
    3,221.65x = 56,660,315.86
  5. Step 5: Solve for x
    x = 56,660,315.86/3,221.65
  6. Step 6: Final answer
    x = 17,587.37

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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.