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Finding the Third Proportional to 7,706.25 and 11,542.50

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Solution

The third proportional to 7,706.25 and 11,542.50 is: 17,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.25 : 11,542.50 = 11,542.50 : x
  2. Step 2: Convert to fraction form
    7,706.25/11,542.50 = 11,542.50/x
  3. Step 3: Cross multiply
    7,706.25x = 11,542.50 × 11,542.50
  4. Step 4: Simplify right side
    7,706.25x = 133,229,306.25
  5. Step 5: Solve for x
    x = 133,229,306.25/7,706.25
  6. Step 6: Final answer
    x = 17,288.47

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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.