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Finding the Third Proportional to 7,542.25 and 11,666.75

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Solution

The third proportional to 7,542.25 and 11,666.75 is: 18,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.25 : 11,666.75 = 11,666.75 : x
  2. Step 2: Convert to fraction form
    7,542.25/11,666.75 = 11,666.75/x
  3. Step 3: Cross multiply
    7,542.25x = 11,666.75 × 11,666.75
  4. Step 4: Simplify right side
    7,542.25x = 136,113,055.56
  5. Step 5: Solve for x
    x = 136,113,055.56/7,542.25
  6. Step 6: Final answer
    x = 18,046.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.