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Finding the Third Proportional to 21,879 and 52,915.50

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Solution

The third proportional to 21,879 and 52,915.50 is: 127,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,879 : 52,915.50 = 52,915.50 : x
  2. Step 2: Convert to fraction form
    21,879/52,915.50 = 52,915.50/x
  3. Step 3: Cross multiply
    21,879x = 52,915.50 × 52,915.50
  4. Step 4: Simplify right side
    21,879x = 2,800,050,140.25
  5. Step 5: Solve for x
    x = 2,800,050,140.25/21,879
  6. Step 6: Final answer
    x = 127,978.89

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.