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Finding the Third Proportional to 47,305.50 and 70,965

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Solution

The third proportional to 47,305.50 and 70,965 is: 106,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,305.50 : 70,965 = 70,965 : x
  2. Step 2: Convert to fraction form
    47,305.50/70,965 = 70,965/x
  3. Step 3: Cross multiply
    47,305.50x = 70,965 × 70,965
  4. Step 4: Simplify right side
    47,305.50x = 5,036,031,225
  5. Step 5: Solve for x
    x = 5,036,031,225/47,305.50
  6. Step 6: Final answer
    x = 106,457.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.