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Finding the Third Proportional to 3,700.69 and 5,928.19

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Solution

The third proportional to 3,700.69 and 5,928.19 is: 9,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.69 : 5,928.19 = 5,928.19 : x
  2. Step 2: Convert to fraction form
    3,700.69/5,928.19 = 5,928.19/x
  3. Step 3: Cross multiply
    3,700.69x = 5,928.19 × 5,928.19
  4. Step 4: Simplify right side
    3,700.69x = 35,143,407.04
  5. Step 5: Solve for x
    x = 35,143,407.04/3,700.69
  6. Step 6: Final answer
    x = 9,496.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.