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Finding the Third Proportional to 30,000.38 and 70,728.19

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Solution

The third proportional to 30,000.38 and 70,728.19 is: 166,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,000.38 : 70,728.19 = 70,728.19 : x
  2. Step 2: Convert to fraction form
    30,000.38/70,728.19 = 70,728.19/x
  3. Step 3: Cross multiply
    30,000.38x = 70,728.19 × 70,728.19
  4. Step 4: Simplify right side
    30,000.38x = 5,002,476,507.04
  5. Step 5: Solve for x
    x = 5,002,476,507.04/30,000.38
  6. Step 6: Final answer
    x = 166,747.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.