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Finding the Third Proportional to 21,942.56 and 46,499.63

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Solution

The third proportional to 21,942.56 and 46,499.63 is: 98,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,942.56 : 46,499.63 = 46,499.63 : x
  2. Step 2: Convert to fraction form
    21,942.56/46,499.63 = 46,499.63/x
  3. Step 3: Cross multiply
    21,942.56x = 46,499.63 × 46,499.63
  4. Step 4: Simplify right side
    21,942.56x = 2,162,215,125.14
  5. Step 5: Solve for x
    x = 2,162,215,125.14/21,942.56
  6. Step 6: Final answer
    x = 98,539.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.