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Finding the Third Proportional to 21,244 and 46,682.50

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Solution

The third proportional to 21,244 and 46,682.50 is: 102,582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,244 : 46,682.50 = 46,682.50 : x
  2. Step 2: Convert to fraction form
    21,244/46,682.50 = 46,682.50/x
  3. Step 3: Cross multiply
    21,244x = 46,682.50 × 46,682.50
  4. Step 4: Simplify right side
    21,244x = 2,179,255,806.25
  5. Step 5: Solve for x
    x = 2,179,255,806.25/21,244
  6. Step 6: Final answer
    x = 102,582.18

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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.