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Finding the Third Proportional to 19,758 and 44,209.50

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Solution

The third proportional to 19,758 and 44,209.50 is: 98,920.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758 : 44,209.50 = 44,209.50 : x
  2. Step 2: Convert to fraction form
    19,758/44,209.50 = 44,209.50/x
  3. Step 3: Cross multiply
    19,758x = 44,209.50 × 44,209.50
  4. Step 4: Simplify right side
    19,758x = 1,954,479,890.25
  5. Step 5: Solve for x
    x = 1,954,479,890.25/19,758
  6. Step 6: Final answer
    x = 98,920.94

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.