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Finding the Third Proportional to 47,949 and 72,588

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Solution

The third proportional to 47,949 and 72,588 is: 109,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,949 : 72,588 = 72,588 : x
  2. Step 2: Convert to fraction form
    47,949/72,588 = 72,588/x
  3. Step 3: Cross multiply
    47,949x = 72,588 × 72,588
  4. Step 4: Simplify right side
    47,949x = 5,269,017,744
  5. Step 5: Solve for x
    x = 5,269,017,744/47,949
  6. Step 6: Final answer
    x = 109,887.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.