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Finding the Third Proportional to 21,874.50 and 32,350.50

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Solution

The third proportional to 21,874.50 and 32,350.50 is: 47,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.50 : 32,350.50 = 32,350.50 : x
  2. Step 2: Convert to fraction form
    21,874.50/32,350.50 = 32,350.50/x
  3. Step 3: Cross multiply
    21,874.50x = 32,350.50 × 32,350.50
  4. Step 4: Simplify right side
    21,874.50x = 1,046,554,850.25
  5. Step 5: Solve for x
    x = 1,046,554,850.25/21,874.50
  6. Step 6: Final answer
    x = 47,843.60

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.