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Finding the Third Proportional to 47,952.75 and 73,389

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Solution

The third proportional to 47,952.75 and 73,389 is: 112,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,952.75 : 73,389 = 73,389 : x
  2. Step 2: Convert to fraction form
    47,952.75/73,389 = 73,389/x
  3. Step 3: Cross multiply
    47,952.75x = 73,389 × 73,389
  4. Step 4: Simplify right side
    47,952.75x = 5,385,945,321
  5. Step 5: Solve for x
    x = 5,385,945,321/47,952.75
  6. Step 6: Final answer
    x = 112,317.76

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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.