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Finding the Third Proportional to 21,517.50 and 46,147.88

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Solution

The third proportional to 21,517.50 and 46,147.88 is: 98,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,517.50 : 46,147.88 = 46,147.88 : x
  2. Step 2: Convert to fraction form
    21,517.50/46,147.88 = 46,147.88/x
  3. Step 3: Cross multiply
    21,517.50x = 46,147.88 × 46,147.88
  4. Step 4: Simplify right side
    21,517.50x = 2,129,626,367.02
  5. Step 5: Solve for x
    x = 2,129,626,367.02/21,517.50
  6. Step 6: Final answer
    x = 98,971.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.