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Finding the Third Proportional to 3,430.69 and 4,573.97

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Solution

The third proportional to 3,430.69 and 4,573.97 is: 6,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.69 : 4,573.97 = 4,573.97 : x
  2. Step 2: Convert to fraction form
    3,430.69/4,573.97 = 4,573.97/x
  3. Step 3: Cross multiply
    3,430.69x = 4,573.97 × 4,573.97
  4. Step 4: Simplify right side
    3,430.69x = 20,921,190.13
  5. Step 5: Solve for x
    x = 20,921,190.13/3,430.69
  6. Step 6: Final answer
    x = 6,098.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.