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Finding the Third Proportional to 4,100.63 and 8,882.79

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Solution

The third proportional to 4,100.63 and 8,882.79 is: 19,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.63 : 8,882.79 = 8,882.79 : x
  2. Step 2: Convert to fraction form
    4,100.63/8,882.79 = 8,882.79/x
  3. Step 3: Cross multiply
    4,100.63x = 8,882.79 × 8,882.79
  4. Step 4: Simplify right side
    4,100.63x = 78,903,941.53
  5. Step 5: Solve for x
    x = 78,903,941.53/4,100.63
  6. Step 6: Final answer
    x = 19,241.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.