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Finding the Third Proportional to 4,172.63 and 8,814.38

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Solution

The third proportional to 4,172.63 and 8,814.38 is: 18,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.63 : 8,814.38 = 8,814.38 : x
  2. Step 2: Convert to fraction form
    4,172.63/8,814.38 = 8,814.38/x
  3. Step 3: Cross multiply
    4,172.63x = 8,814.38 × 8,814.38
  4. Step 4: Simplify right side
    4,172.63x = 77,693,206.64
  5. Step 5: Solve for x
    x = 77,693,206.64/4,172.63
  6. Step 6: Final answer
    x = 18,619.74

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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.