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Finding the Third Proportional to 16,537 and 36,178.75

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Solution

The third proportional to 16,537 and 36,178.75 is: 79,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537 : 36,178.75 = 36,178.75 : x
  2. Step 2: Convert to fraction form
    16,537/36,178.75 = 36,178.75/x
  3. Step 3: Cross multiply
    16,537x = 36,178.75 × 36,178.75
  4. Step 4: Simplify right side
    16,537x = 1,308,901,951.56
  5. Step 5: Solve for x
    x = 1,308,901,951.56/16,537
  6. Step 6: Final answer
    x = 79,149.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.