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Finding the Third Proportional to 8,566.07 and 12,849.10

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Solution

The third proportional to 8,566.07 and 12,849.10 is: 19,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.07 : 12,849.10 = 12,849.10 : x
  2. Step 2: Convert to fraction form
    8,566.07/12,849.10 = 12,849.10/x
  3. Step 3: Cross multiply
    8,566.07x = 12,849.10 × 12,849.10
  4. Step 4: Simplify right side
    8,566.07x = 165,099,360.77
  5. Step 5: Solve for x
    x = 165,099,360.77/8,566.07
  6. Step 6: Final answer
    x = 19,273.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.