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Finding the Third Proportional to 4,044.94 and 8,530.31

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Solution

The third proportional to 4,044.94 and 8,530.31 is: 17,989.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044.94 : 8,530.31 = 8,530.31 : x
  2. Step 2: Convert to fraction form
    4,044.94/8,530.31 = 8,530.31/x
  3. Step 3: Cross multiply
    4,044.94x = 8,530.31 × 8,530.31
  4. Step 4: Simplify right side
    4,044.94x = 72,766,231.35
  5. Step 5: Solve for x
    x = 72,766,231.35/4,044.94
  6. Step 6: Final answer
    x = 17,989.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.