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Finding the Third Proportional to 3,199.08 and 4,935.52

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Solution

The third proportional to 3,199.08 and 4,935.52 is: 7,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.08 : 4,935.52 = 4,935.52 : x
  2. Step 2: Convert to fraction form
    3,199.08/4,935.52 = 4,935.52/x
  3. Step 3: Cross multiply
    3,199.08x = 4,935.52 × 4,935.52
  4. Step 4: Simplify right side
    3,199.08x = 24,359,314.48
  5. Step 5: Solve for x
    x = 24,359,314.48/3,199.08
  6. Step 6: Final answer
    x = 7,614.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.