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Finding the Third Proportional to 8,271 and 11,782.50

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Solution

The third proportional to 8,271 and 11,782.50 is: 16,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271 : 11,782.50 = 11,782.50 : x
  2. Step 2: Convert to fraction form
    8,271/11,782.50 = 11,782.50/x
  3. Step 3: Cross multiply
    8,271x = 11,782.50 × 11,782.50
  4. Step 4: Simplify right side
    8,271x = 138,827,306.25
  5. Step 5: Solve for x
    x = 138,827,306.25/8,271
  6. Step 6: Final answer
    x = 16,784.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.