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Finding the Third Proportional to 11,308.50 and 16,497.56

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Solution

The third proportional to 11,308.50 and 16,497.56 is: 24,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.50 : 16,497.56 = 16,497.56 : x
  2. Step 2: Convert to fraction form
    11,308.50/16,497.56 = 16,497.56/x
  3. Step 3: Cross multiply
    11,308.50x = 16,497.56 × 16,497.56
  4. Step 4: Simplify right side
    11,308.50x = 272,169,568.44
  5. Step 5: Solve for x
    x = 272,169,568.44/11,308.50
  6. Step 6: Final answer
    x = 24,067.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.