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Finding the Third Proportional to 11,208.75 and 16,897.13

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Solution

The third proportional to 11,208.75 and 16,897.13 is: 25,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,208.75 : 16,897.13 = 16,897.13 : x
  2. Step 2: Convert to fraction form
    11,208.75/16,897.13 = 16,897.13/x
  3. Step 3: Cross multiply
    11,208.75x = 16,897.13 × 16,897.13
  4. Step 4: Simplify right side
    11,208.75x = 285,512,833.27
  5. Step 5: Solve for x
    x = 285,512,833.27/11,208.75
  6. Step 6: Final answer
    x = 25,472.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.