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Finding the Third Proportional to 3,430.69 and 4,659.19

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Solution

The third proportional to 3,430.69 and 4,659.19 is: 6,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.69 : 4,659.19 = 4,659.19 : x
  2. Step 2: Convert to fraction form
    3,430.69/4,659.19 = 4,659.19/x
  3. Step 3: Cross multiply
    3,430.69x = 4,659.19 × 4,659.19
  4. Step 4: Simplify right side
    3,430.69x = 21,708,028.16
  5. Step 5: Solve for x
    x = 21,708,028.16/3,430.69
  6. Step 6: Final answer
    x = 6,327.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.