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Finding the Third Proportional to 30,230.72 and 70,593.40

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Solution

The third proportional to 30,230.72 and 70,593.40 is: 164,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,230.72 : 70,593.40 = 70,593.40 : x
  2. Step 2: Convert to fraction form
    30,230.72/70,593.40 = 70,593.40/x
  3. Step 3: Cross multiply
    30,230.72x = 70,593.40 × 70,593.40
  4. Step 4: Simplify right side
    30,230.72x = 4,983,427,902.96
  5. Step 5: Solve for x
    x = 4,983,427,902.96/30,230.72
  6. Step 6: Final answer
    x = 164,846.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.