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Finding the Third Proportional to 3,406.51 and 4,952.79

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Solution

The third proportional to 3,406.51 and 4,952.79 is: 7,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.51 : 4,952.79 = 4,952.79 : x
  2. Step 2: Convert to fraction form
    3,406.51/4,952.79 = 4,952.79/x
  3. Step 3: Cross multiply
    3,406.51x = 4,952.79 × 4,952.79
  4. Step 4: Simplify right side
    3,406.51x = 24,530,090.48
  5. Step 5: Solve for x
    x = 24,530,090.48/3,406.51
  6. Step 6: Final answer
    x = 7,200.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.