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Finding the Third Proportional to 3,475.13 and 4,933.69

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Solution

The third proportional to 3,475.13 and 4,933.69 is: 7,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.13 : 4,933.69 = 4,933.69 : x
  2. Step 2: Convert to fraction form
    3,475.13/4,933.69 = 4,933.69/x
  3. Step 3: Cross multiply
    3,475.13x = 4,933.69 × 4,933.69
  4. Step 4: Simplify right side
    3,475.13x = 24,341,272.35
  5. Step 5: Solve for x
    x = 24,341,272.35/3,475.13
  6. Step 6: Final answer
    x = 7,004.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.