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Finding the Third Proportional to 9,731.81 and 21,172.22

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Solution

The third proportional to 9,731.81 and 21,172.22 is: 46,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.81 : 21,172.22 = 21,172.22 : x
  2. Step 2: Convert to fraction form
    9,731.81/21,172.22 = 21,172.22/x
  3. Step 3: Cross multiply
    9,731.81x = 21,172.22 × 21,172.22
  4. Step 4: Simplify right side
    9,731.81x = 448,262,846.80
  5. Step 5: Solve for x
    x = 448,262,846.80/9,731.81
  6. Step 6: Final answer
    x = 46,061.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.