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Finding the Third Proportional to 8,307 and 11,818.50

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Solution

The third proportional to 8,307 and 11,818.50 is: 16,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307 : 11,818.50 = 11,818.50 : x
  2. Step 2: Convert to fraction form
    8,307/11,818.50 = 11,818.50/x
  3. Step 3: Cross multiply
    8,307x = 11,818.50 × 11,818.50
  4. Step 4: Simplify right side
    8,307x = 139,676,942.25
  5. Step 5: Solve for x
    x = 139,676,942.25/8,307
  6. Step 6: Final answer
    x = 16,814.37

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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.