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Finding the Third Proportional to 47,373 and 63,202.50

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Solution

The third proportional to 47,373 and 63,202.50 is: 84,321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,373 : 63,202.50 = 63,202.50 : x
  2. Step 2: Convert to fraction form
    47,373/63,202.50 = 63,202.50/x
  3. Step 3: Cross multiply
    47,373x = 63,202.50 × 63,202.50
  4. Step 4: Simplify right side
    47,373x = 3,994,556,006.25
  5. Step 5: Solve for x
    x = 3,994,556,006.25/47,373
  6. Step 6: Final answer
    x = 84,321.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.