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Finding the Third Proportional to 8,206.78 and 17,898.84

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Solution

The third proportional to 8,206.78 and 17,898.84 is: 39,037.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.78 : 17,898.84 = 17,898.84 : x
  2. Step 2: Convert to fraction form
    8,206.78/17,898.84 = 17,898.84/x
  3. Step 3: Cross multiply
    8,206.78x = 17,898.84 × 17,898.84
  4. Step 4: Simplify right side
    8,206.78x = 320,368,607.59
  5. Step 5: Solve for x
    x = 320,368,607.59/8,206.78
  6. Step 6: Final answer
    x = 39,037.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.