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Finding the Third Proportional to 3,195.07 and 4,904.30

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Solution

The third proportional to 3,195.07 and 4,904.30 is: 7,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.07 : 4,904.30 = 4,904.30 : x
  2. Step 2: Convert to fraction form
    3,195.07/4,904.30 = 4,904.30/x
  3. Step 3: Cross multiply
    3,195.07x = 4,904.30 × 4,904.30
  4. Step 4: Simplify right side
    3,195.07x = 24,052,127.84
  5. Step 5: Solve for x
    x = 24,052,127.84/3,195.07
  6. Step 6: Final answer
    x = 7,527.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.