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Finding the Third Proportional to 9,947.81 and 21,763.69

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Solution

The third proportional to 9,947.81 and 21,763.69 is: 47,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.81 : 21,763.69 = 21,763.69 : x
  2. Step 2: Convert to fraction form
    9,947.81/21,763.69 = 21,763.69/x
  3. Step 3: Cross multiply
    9,947.81x = 21,763.69 × 21,763.69
  4. Step 4: Simplify right side
    9,947.81x = 473,658,093.60
  5. Step 5: Solve for x
    x = 473,658,093.60/9,947.81
  6. Step 6: Final answer
    x = 47,614.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.