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Finding the Third Proportional to 47,320.50 and 72,735

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Solution

The third proportional to 47,320.50 and 72,735 is: 111,798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,320.50 : 72,735 = 72,735 : x
  2. Step 2: Convert to fraction form
    47,320.50/72,735 = 72,735/x
  3. Step 3: Cross multiply
    47,320.50x = 72,735 × 72,735
  4. Step 4: Simplify right side
    47,320.50x = 5,290,380,225
  5. Step 5: Solve for x
    x = 5,290,380,225/47,320.50
  6. Step 6: Final answer
    x = 111,798.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.