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Finding the Third Proportional to 7,684.88 and 11,527.31

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Solution

The third proportional to 7,684.88 and 11,527.31 is: 17,290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.88 : 11,527.31 = 11,527.31 : x
  2. Step 2: Convert to fraction form
    7,684.88/11,527.31 = 11,527.31/x
  3. Step 3: Cross multiply
    7,684.88x = 11,527.31 × 11,527.31
  4. Step 4: Simplify right side
    7,684.88x = 132,878,933.47
  5. Step 5: Solve for x
    x = 132,878,933.47/7,684.88
  6. Step 6: Final answer
    x = 17,290.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.