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Finding the Third Proportional to 22,329 and 46,956

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Solution

The third proportional to 22,329 and 46,956 is: 98,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,329 : 46,956 = 46,956 : x
  2. Step 2: Convert to fraction form
    22,329/46,956 = 46,956/x
  3. Step 3: Cross multiply
    22,329x = 46,956 × 46,956
  4. Step 4: Simplify right side
    22,329x = 2,204,865,936
  5. Step 5: Solve for x
    x = 2,204,865,936/22,329
  6. Step 6: Final answer
    x = 98,744.50

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.