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Finding the Third Proportional to 29,721 and 46,168.50

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Solution

The third proportional to 29,721 and 46,168.50 is: 71,717.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,721 : 46,168.50 = 46,168.50 : x
  2. Step 2: Convert to fraction form
    29,721/46,168.50 = 46,168.50/x
  3. Step 3: Cross multiply
    29,721x = 46,168.50 × 46,168.50
  4. Step 4: Simplify right side
    29,721x = 2,131,530,392.25
  5. Step 5: Solve for x
    x = 2,131,530,392.25/29,721
  6. Step 6: Final answer
    x = 71,717.99

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