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Finding the Third Proportional to 11,536.50 and 16,497.19

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Solution

The third proportional to 11,536.50 and 16,497.19 is: 23,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.50 : 16,497.19 = 16,497.19 : x
  2. Step 2: Convert to fraction form
    11,536.50/16,497.19 = 16,497.19/x
  3. Step 3: Cross multiply
    11,536.50x = 16,497.19 × 16,497.19
  4. Step 4: Simplify right side
    11,536.50x = 272,157,195.41
  5. Step 5: Solve for x
    x = 272,157,195.41/11,536.50
  6. Step 6: Final answer
    x = 23,590.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.