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Finding the Third Proportional to 4,451.63 and 9,599.34

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Solution

The third proportional to 4,451.63 and 9,599.34 is: 20,699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.63 : 9,599.34 = 9,599.34 : x
  2. Step 2: Convert to fraction form
    4,451.63/9,599.34 = 9,599.34/x
  3. Step 3: Cross multiply
    4,451.63x = 9,599.34 × 9,599.34
  4. Step 4: Simplify right side
    4,451.63x = 92,147,400.43
  5. Step 5: Solve for x
    x = 92,147,400.43/4,451.63
  6. Step 6: Final answer
    x = 20,699.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.