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Finding the Third Proportional to 47,562 and 73,747.50

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Solution

The third proportional to 47,562 and 73,747.50 is: 114,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,562 : 73,747.50 = 73,747.50 : x
  2. Step 2: Convert to fraction form
    47,562/73,747.50 = 73,747.50/x
  3. Step 3: Cross multiply
    47,562x = 73,747.50 × 73,747.50
  4. Step 4: Simplify right side
    47,562x = 5,438,693,756.25
  5. Step 5: Solve for x
    x = 5,438,693,756.25/47,562
  6. Step 6: Final answer
    x = 114,349.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.