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Finding the Third Proportional to 21,722.50 and 47,181.50

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Solution

The third proportional to 21,722.50 and 47,181.50 is: 102,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722.50 : 47,181.50 = 47,181.50 : x
  2. Step 2: Convert to fraction form
    21,722.50/47,181.50 = 47,181.50/x
  3. Step 3: Cross multiply
    21,722.50x = 47,181.50 × 47,181.50
  4. Step 4: Simplify right side
    21,722.50x = 2,226,093,942.25
  5. Step 5: Solve for x
    x = 2,226,093,942.25/21,722.50
  6. Step 6: Final answer
    x = 102,478.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.