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Finding the Third Proportional to 21,289.50 and 46,201.31

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Solution

The third proportional to 21,289.50 and 46,201.31 is: 100,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,289.50 : 46,201.31 = 46,201.31 : x
  2. Step 2: Convert to fraction form
    21,289.50/46,201.31 = 46,201.31/x
  3. Step 3: Cross multiply
    21,289.50x = 46,201.31 × 46,201.31
  4. Step 4: Simplify right side
    21,289.50x = 2,134,561,276.72
  5. Step 5: Solve for x
    x = 2,134,561,276.72/21,289.50
  6. Step 6: Final answer
    x = 100,263.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.