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Finding the Third Proportional to 47,523 and 73,912.50

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Solution

The third proportional to 47,523 and 73,912.50 is: 114,956.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,523 : 73,912.50 = 73,912.50 : x
  2. Step 2: Convert to fraction form
    47,523/73,912.50 = 73,912.50/x
  3. Step 3: Cross multiply
    47,523x = 73,912.50 × 73,912.50
  4. Step 4: Simplify right side
    47,523x = 5,463,057,656.25
  5. Step 5: Solve for x
    x = 5,463,057,656.25/47,523
  6. Step 6: Final answer
    x = 114,956.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.