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Finding the Third Proportional to 8,486.02 and 18,643.61

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Solution

The third proportional to 8,486.02 and 18,643.61 is: 40,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.02 : 18,643.61 = 18,643.61 : x
  2. Step 2: Convert to fraction form
    8,486.02/18,643.61 = 18,643.61/x
  3. Step 3: Cross multiply
    8,486.02x = 18,643.61 × 18,643.61
  4. Step 4: Simplify right side
    8,486.02x = 347,584,024.87
  5. Step 5: Solve for x
    x = 347,584,024.87/8,486.02
  6. Step 6: Final answer
    x = 40,959.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.