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Finding the Third Proportional to 4,170.23 and 6,666.05

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Solution

The third proportional to 4,170.23 and 6,666.05 is: 10,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.23 : 6,666.05 = 6,666.05 : x
  2. Step 2: Convert to fraction form
    4,170.23/6,666.05 = 6,666.05/x
  3. Step 3: Cross multiply
    4,170.23x = 6,666.05 × 6,666.05
  4. Step 4: Simplify right side
    4,170.23x = 44,436,180.94
  5. Step 5: Solve for x
    x = 44,436,180.94/4,170.23
  6. Step 6: Final answer
    x = 10,655.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.