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Finding the Third Proportional to 4,221.56 and 4,881.94

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Solution

The third proportional to 4,221.56 and 4,881.94 is: 5,645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.56 : 4,881.94 = 4,881.94 : x
  2. Step 2: Convert to fraction form
    4,221.56/4,881.94 = 4,881.94/x
  3. Step 3: Cross multiply
    4,221.56x = 4,881.94 × 4,881.94
  4. Step 4: Simplify right side
    4,221.56x = 23,833,313.75
  5. Step 5: Solve for x
    x = 23,833,313.75/4,221.56
  6. Step 6: Final answer
    x = 5,645.61

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.