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Finding the Third Proportional to 11,938.36 and 16,155.70

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Solution

The third proportional to 11,938.36 and 16,155.70 is: 21,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.36 : 16,155.70 = 16,155.70 : x
  2. Step 2: Convert to fraction form
    11,938.36/16,155.70 = 16,155.70/x
  3. Step 3: Cross multiply
    11,938.36x = 16,155.70 × 16,155.70
  4. Step 4: Simplify right side
    11,938.36x = 261,006,743.46
  5. Step 5: Solve for x
    x = 261,006,743.46/11,938.36
  6. Step 6: Final answer
    x = 21,862.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.