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Finding the Third Proportional to 4,465.13 and 8,451.84

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Solution

The third proportional to 4,465.13 and 8,451.84 is: 15,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.13 : 8,451.84 = 8,451.84 : x
  2. Step 2: Convert to fraction form
    4,465.13/8,451.84 = 8,451.84/x
  3. Step 3: Cross multiply
    4,465.13x = 8,451.84 × 8,451.84
  4. Step 4: Simplify right side
    4,465.13x = 71,433,662.77
  5. Step 5: Solve for x
    x = 71,433,662.77/4,465.13
  6. Step 6: Final answer
    x = 15,998.13

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.