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Finding the Third Proportional to 8,167.50 and 12,939.75

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Solution

The third proportional to 8,167.50 and 12,939.75 is: 20,500.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.50 : 12,939.75 = 12,939.75 : x
  2. Step 2: Convert to fraction form
    8,167.50/12,939.75 = 12,939.75/x
  3. Step 3: Cross multiply
    8,167.50x = 12,939.75 × 12,939.75
  4. Step 4: Simplify right side
    8,167.50x = 167,437,130.06
  5. Step 5: Solve for x
    x = 167,437,130.06/8,167.50
  6. Step 6: Final answer
    x = 20,500.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.