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Finding the Third Proportional to 3,065.34 and 4,199.34

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Solution

The third proportional to 3,065.34 and 4,199.34 is: 5,752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.34 : 4,199.34 = 4,199.34 : x
  2. Step 2: Convert to fraction form
    3,065.34/4,199.34 = 4,199.34/x
  3. Step 3: Cross multiply
    3,065.34x = 4,199.34 × 4,199.34
  4. Step 4: Simplify right side
    3,065.34x = 17,634,487.93
  5. Step 5: Solve for x
    x = 17,634,487.93/3,065.34
  6. Step 6: Final answer
    x = 5,752.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.