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Finding the Third Proportional to 4,303.69 and 5,739.19

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Solution

The third proportional to 4,303.69 and 5,739.19 is: 7,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.69 : 5,739.19 = 5,739.19 : x
  2. Step 2: Convert to fraction form
    4,303.69/5,739.19 = 5,739.19/x
  3. Step 3: Cross multiply
    4,303.69x = 5,739.19 × 5,739.19
  4. Step 4: Simplify right side
    4,303.69x = 32,938,273.16
  5. Step 5: Solve for x
    x = 32,938,273.16/4,303.69
  6. Step 6: Final answer
    x = 7,653.50

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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.