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Finding the Third Proportional to 18,402 and 29,185.50

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Solution

The third proportional to 18,402 and 29,185.50 is: 46,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,402 : 29,185.50 = 29,185.50 : x
  2. Step 2: Convert to fraction form
    18,402/29,185.50 = 29,185.50/x
  3. Step 3: Cross multiply
    18,402x = 29,185.50 × 29,185.50
  4. Step 4: Simplify right side
    18,402x = 851,793,410.25
  5. Step 5: Solve for x
    x = 851,793,410.25/18,402
  6. Step 6: Final answer
    x = 46,288.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.