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Finding the Third Proportional to 21,106.83 and 46,359.84

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Solution

The third proportional to 21,106.83 and 46,359.84 is: 101,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.83 : 46,359.84 = 46,359.84 : x
  2. Step 2: Convert to fraction form
    21,106.83/46,359.84 = 46,359.84/x
  3. Step 3: Cross multiply
    21,106.83x = 46,359.84 × 46,359.84
  4. Step 4: Simplify right side
    21,106.83x = 2,149,235,112.52
  5. Step 5: Solve for x
    x = 2,149,235,112.52/21,106.83
  6. Step 6: Final answer
    x = 101,826.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.