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Finding the Third Proportional to 8,479 and 18,564.50

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Solution

The third proportional to 8,479 and 18,564.50 is: 40,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,479 : 18,564.50 = 18,564.50 : x
  2. Step 2: Convert to fraction form
    8,479/18,564.50 = 18,564.50/x
  3. Step 3: Cross multiply
    8,479x = 18,564.50 × 18,564.50
  4. Step 4: Simplify right side
    8,479x = 344,640,660.25
  5. Step 5: Solve for x
    x = 344,640,660.25/8,479
  6. Step 6: Final answer
    x = 40,646.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.