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Finding the Third Proportional to 9,947.81 and 23,403.94

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Solution

The third proportional to 9,947.81 and 23,403.94 is: 55,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.81 : 23,403.94 = 23,403.94 : x
  2. Step 2: Convert to fraction form
    9,947.81/23,403.94 = 23,403.94/x
  3. Step 3: Cross multiply
    9,947.81x = 23,403.94 × 23,403.94
  4. Step 4: Simplify right side
    9,947.81x = 547,744,290.50
  5. Step 5: Solve for x
    x = 547,744,290.50/9,947.81
  6. Step 6: Final answer
    x = 55,061.78

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.