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Finding the Third Proportional to 8,312.63 and 16,230.38

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Solution

The third proportional to 8,312.63 and 16,230.38 is: 31,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.63 : 16,230.38 = 16,230.38 : x
  2. Step 2: Convert to fraction form
    8,312.63/16,230.38 = 16,230.38/x
  3. Step 3: Cross multiply
    8,312.63x = 16,230.38 × 16,230.38
  4. Step 4: Simplify right side
    8,312.63x = 263,425,072.64
  5. Step 5: Solve for x
    x = 263,425,072.64/8,312.63
  6. Step 6: Final answer
    x = 31,689.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.