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Finding the Third Proportional to 7,493.34 and 11,259.28

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Solution

The third proportional to 7,493.34 and 11,259.28 is: 16,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.34 : 11,259.28 = 11,259.28 : x
  2. Step 2: Convert to fraction form
    7,493.34/11,259.28 = 11,259.28/x
  3. Step 3: Cross multiply
    7,493.34x = 11,259.28 × 11,259.28
  4. Step 4: Simplify right side
    7,493.34x = 126,771,414.27
  5. Step 5: Solve for x
    x = 126,771,414.27/7,493.34
  6. Step 6: Final answer
    x = 16,917.87

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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.