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Finding the Third Proportional to 3,669.21 and 4,056.49

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Solution

The third proportional to 3,669.21 and 4,056.49 is: 4,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.21 : 4,056.49 = 4,056.49 : x
  2. Step 2: Convert to fraction form
    3,669.21/4,056.49 = 4,056.49/x
  3. Step 3: Cross multiply
    3,669.21x = 4,056.49 × 4,056.49
  4. Step 4: Simplify right side
    3,669.21x = 16,455,081.33
  5. Step 5: Solve for x
    x = 16,455,081.33/3,669.21
  6. Step 6: Final answer
    x = 4,484.64

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.