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Finding the Third Proportional to 21,748.25 and 46,344.88

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Solution

The third proportional to 21,748.25 and 46,344.88 is: 98,759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,748.25 : 46,344.88 = 46,344.88 : x
  2. Step 2: Convert to fraction form
    21,748.25/46,344.88 = 46,344.88/x
  3. Step 3: Cross multiply
    21,748.25x = 46,344.88 × 46,344.88
  4. Step 4: Simplify right side
    21,748.25x = 2,147,847,438.77
  5. Step 5: Solve for x
    x = 2,147,847,438.77/21,748.25
  6. Step 6: Final answer
    x = 98,759.55

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.